A. 0.9641
B. 3.59
C. 96.41
D. 0.0359
Question 2 of 40
0.0/ 2.5 Points
A study of a brand of “in the shell peanuts” gives the following results:
A significant event at the 0.01 level is a fan getting a bag with how many peanuts?
A. 30 peanuts
B. 25 or 30 peanuts
C. 25 or 55 peanuts
D. 25 peanuts
Question 3 of 40
0.0/ 2.5 Points
In the past, the mean running time for a certain type of flashlight battery has been 8.0 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are:
H
0
: µ
= 8.0 hours
H
a
: µ
> 8.0 hours
Explain the meaning of a Type II error.
A. Concluding that µ > 8.0 hours when in fact µ > 8.0 hours
B. Failing to reject the hypothesis that µ = 8.0 hours when in fact µ >
8.0 hours
C. Concluding that µ > 8.0 hours
D. Failing to reject the hypothesis that µ = 8.0 hours when in fact µ = 8.0 hours
Question 4 of 40
0.0/ 2.5 Points
If a fan purchased a bag with 30 peanuts, what is the lowest level at which this would be a significant event?
A. 0.05
B. 0.025
C. 0.01
D. It is not significant at any of the levels given
Question 5 of 40
0.0/ 2.5 Points
A two-tailed test is conducted at the 5% significance level. What is the P-value required to reject the null hypothesis?
A. Greater than or equal to 0.10
B. Less than or equal to 0.05
C. Less than or equal to 0.10
D. Greater than or equal to 0.05
Question 6 of 40
0.0/ 2.5 Points
In 1990, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. The mean duration for a random sample of 50 calls originating in the town was 8.6 minutes. Does the data provide sufficient evidence to conclude that the mean call duration, µ, is different from the 1990 mean of 9.4 minutes? Perform the appropriate hypothesis test using a significance level of 0.01. Assume that
s
= 4.8 minutes.
A. With a z of -1.2 there is sufficient evidence to conclude that the mean
value has changed from the 1990 mean of 9.4 minutes.
B. With a P-value of 0.2302 there is not sufficient evidence to conclude
that the mean value is less than the 1990 mean of 9.4 minutes.
C. With a P-value of 0.2302 there is sufficient evidence to conclude that
the mean value is less than the 1990 mean of 9.4 minutes.
D. With a z of –1.2 there is not sufficient evidence to conclude that the
mean value has changed from the 1990 mean of 9.4 minutes.
Question 7 of 40
0.0/ 2.5 Points
A two-tailed test is conducted at the 5% significance level. Which of the z-scores below is the smallest one that leads to rejection of the null hypothesis?
A. 1.12
B. 1.48
C. 1.84
D. 2.15
Question 8 of 40
0.0/ 2.5 Points
without computing a P-value, determine whether the alter.
Interactive Powerpoint_How to Master effective communication
A. 0.9641B. 3.59C. 96.41D. 0.0359Question 2 of 40.docx
1. A. 0.9641
B. 3.59
C. 96.41
D. 0.0359
Question 2 of 40
0.0/ 2.5 Points
A study of a brand of “in the shell peanuts” gives the following
results:
A significant event at the 0.01 level is a fan getting a bag with
how many peanuts?
A. 30 peanuts
B. 25 or 30 peanuts
C. 25 or 55 peanuts
D. 25 peanuts
Question 3 of 40
0.0/ 2.5 Points
In the past, the mean running time for a certain type of
flashlight battery has been 8.0 hours. The manufacturer has
introduced a change in the production method and wants to
perform a hypothesis test to determine whether the mean
running time has increased as a result. The hypotheses are:
H
0
: µ
= 8.0 hours
H
2. a
: µ
> 8.0 hours
Explain the meaning of a Type II error.
A. Concluding that µ > 8.0 hours when in fact µ > 8.0 hours
B. Failing to reject the hypothesis that µ = 8.0 hours when in
fact µ >
8.0 hours
C. Concluding that µ > 8.0 hours
D. Failing to reject the hypothesis that µ = 8.0 hours when in
fact µ = 8.0 hours
Question 4 of 40
0.0/ 2.5 Points
If a fan purchased a bag with 30 peanuts, what is the lowest
level at which this would be a significant event?
A. 0.05
B. 0.025
C. 0.01
D. It is not significant at any of the levels given
Question 5 of 40
0.0/ 2.5 Points
A two-tailed test is conducted at the 5% significance level.
What is the P-value required to reject the null hypothesis?
A. Greater than or equal to 0.10
B. Less than or equal to 0.05
3. C. Less than or equal to 0.10
D. Greater than or equal to 0.05
Question 6 of 40
0.0/ 2.5 Points
In 1990, the average duration of long-distance telephone calls
originating in one town was 9.4 minutes. A long-distance
telephone company wants to perform a hypothesis test to
determine whether the average duration of long-distance phone
calls has changed from the 1990 mean of 9.4 minutes. The mean
duration for a random sample of 50 calls originating in the town
was 8.6 minutes. Does the data provide sufficient evidence to
conclude that the mean call duration, µ, is different from the
1990 mean of 9.4 minutes? Perform the appropriate hypothesis
test using a significance level of 0.01. Assume that
s
= 4.8 minutes.
A. With a z of -1.2 there is sufficient evidence to conclude that
the mean
value has changed from the 1990 mean of 9.4 minutes.
B. With a P-value of 0.2302 there is not sufficient evidence to
conclude
that the mean value is less than the 1990 mean of 9.4 minutes.
C. With a P-value of 0.2302 there is sufficient evidence to
conclude that
the mean value is less than the 1990 mean of 9.4 minutes.
D. With a z of –1.2 there is not sufficient evidence to conclude
that the
mean value has changed from the 1990 mean of 9.4 minutes.
Question 7 of 40
0.0/ 2.5 Points
4. A two-tailed test is conducted at the 5% significance level.
Which of the z-scores below is the smallest one that leads to
rejection of the null hypothesis?
A. 1.12
B. 1.48
C. 1.84
D. 2.15
Question 8 of 40
0.0/ 2.5 Points
without computing a P-value, determine whether the alternate
hypothesis is supported and give a reason for your conclusion.
A.
is less than 1 standard deviation above the claimed mean.
B.
is more than 4 standard deviations above the claimed mean.
C.
is less than 1 standard deviation above the claimed mean.
D.
is more than 4 standard deviations above the claimed mean.
Question 9 of 40
0.0/ 2.5 Points
The principal of a middle school claims that annual incomes of
the families of the seventh-graders at his school vary more than
the annual incomes of the families of the seventh-graders at a
neighboring school, which have variation described by
s
=
5. $13,700. Assume that a hypothesis test of the claim has been
conducted and that the conclusion of the test was to reject the
null hypothesis. Identify the population to which the results of
the test apply.
A. The current seventh graders at the principal’s school
B. Seventh graders’ families at the school with a standard
deviation of $13,700
C. All of the families of the class of seventh graders at the
principal’s school
D. All seventh graders’ families
Question 10 of 40
0.0/ 2.5 Points
A two-tailed test is conducted at the 0.10 significance level.
What is the P-value required to reject the null hypothesis?
A. Greater than or equal to .010
B. Greater than or equal to 0.05
C. Less than or equal to 0.10
D. Less than or equal to 0.05
Question 11 of 40
0.0/ 2.5 Points
In 1990, the average duration of long-distance telephone calls
originating in one town was 9.3 minutes. A long-distance
telephone company wants to perform a hypothesis test to
determine whether the average duration of long-distance phone
calls has changed from the 1990 mean of 9.3 minutes. Formulate
the null and alternative hypotheses for the study described.
A.
H
6. o
: µ = 9.3 minutes H
a
: µ < 9.3 minutes
B.
H
o
: µ = 9.3 minutes H
a
: µ > 9.3 minutes
C.
H
o
: µ = 9.3 minutes
H
a
: µ
¹
9.3 minutes
D.
H
o
: µ
7. ¹
9.3 minutes H
a
: µ = 9.3 minutes
Question 12 of 40
0.0/ 2.5 Points
A poll of 1,068 adult Americans reveals that 52% of the voters
surveyed prefer the Democratic candidate for the presidency. At
the 0.05 significance level, test the claim that more than half of
all voters prefer the Democrat.
A. Reject the null hypothesis. Conclude that there is insufficient
evidence that more than half of all voters prefer Democrats.
B. Do not reject the null hypothesis. Conclude that there is
sufficient evidence that more than half of all voters prefer
Democrats.
C. Reject the null hypothesis. Conclude that there is sufficient
evidence that more than half of all voters prefer Democrats.
D. Do not reject the null hypothesis. Conclude that there is
insufficient evidence that more than half of all voters prefer
Democrats.
Question 13 of 40
0.0/ 2.5 Points
At one school, the mean amount of time that tenth-graders
spend watching television each week is 18.4 hours. The
principal introduces a campaign to encourage the students to
watch less television. One year later, the principal wants to
perform a hypothesis test to determine whether the average
amount of time spent watching television per week has
8. decreased.
Formulate the null and alternative hypotheses for the study
described.
A.
H
o
: µ = 18.4 hours H
a
: µ
¹
18.4 hours
B.
H
o
: µ = 18.4 hours H
a
: µ < 18.4 hours
C.
H
o
: µ
³
18.4 hours H
a
9. : µ < 18.4 hours
D.
H
o
: µ = 18.4 hours H
a
: µ > 18.4 hours
Question 14 of 40
0.0/ 2.5 Points
A psychologist claims that more than 29 percent of the
professional population suffers from problems due to extreme
shyness. Assuming that a hypothesis test of the claim has been
conducted and that the conclusion is failure to reject the null
hypothesis, state the conclusion in non-technical terms.
A. There is sufficient evidence to support the claim that the true
proportion is less than 29 percent.
B. There is not sufficient evidence to support the claim that the
true proportion is greater than 29 percent.
C. There is sufficient evidence to support the claim that the true
proportion is equal to 29 percent.
D. There is sufficient evidence to support the claim that the true
proportion is greater than 29 percent.
Question 15 of 40
0.0/ 2.5 Points
In the past, the mean running time for a certain type of
flashlight battery has been 9.8 hours. The manufacturer has
introduced a change in the production method and wants to
perform a hypothesis test to determine whether the mean
10. running time has increased as a result. The hypotheses are:
H
0
: µ
= 9.8 hours
H
a
: µ
> 9.8 hours
Suppose that the results of the sampling lead to rejection of the
null hypothesis. Classify that conclusion as a Type I error, a
Type II error, or a correct decision, if in fact the mean running
time has not increased.
A. Type I error
B. Type II error
C. Correct decision
D. Can not be determined from this information
Question 16 of 40
0.0/ 2.5 Points
A consumer group claims that the mean running time for a
certain type of flashlight battery is not the same as the
manufacturer’s claims. Determine the null and alternative
hypotheses for the test described.
A.
H
0
: µ = Manufacturer’s claims H
a
: µ < Manufacturer’s claims
B.
11. H
0
: µ = Manufacturer’s claims H
a
: µ
¹
Manufacturer’s claims
C.
H
0
: µ = Manufacturer’s claims H
a
: µ > Manufacturer’s claims
D.
H
0
: µ
¹
Manufacturer’s claims H
a
: µ = Manufacturer’s claims
Question 17 of 40
0.0/ 2.5 Points
The owner of a football team claims that the average attendance
at home games is over 3000, and he is therefore justified in
moving the team to a city with a larger stadium. Assuming that
12. a hypothesis test of the claim has been conducted and that the
conclusion is failure to reject the null hypothesis, state the
conclusion in non-technical terms.
A. There is sufficient evidence to support the claim that the
mean attendance is greater than 3000.
B. There is sufficient evidence to support the claim that the
mean attendance is equal to 3000.
C. There is not sufficient evidence to support the claim that the
mean attendance is greater than 3000.
D. There is not sufficient evidence to support the claim that the
mean attendance is less than 3000.
Question 18 of 40
0.0/ 2.5 Points
A skeptical paranormal researcher claims that the proportion of
Americans that have seen a UFO is less than 1 in every one
thousand. State the null hypothesis and the alternative
hypothesis for a test of significance.
A.
H
0
: p = 0.001 H
a
: p > 0.001
B.
H
0
: p = 0.001
H
a
: p < 0.001
13. C.
H
0
: p > 0.001 H
a
: p = 0.001
D.
H
0
: p < 0.001 H
a
: p = 0.001
Question 19 of 40
0.0/ 2.5 Points
A consumer advocacy group claims that the mean amount of
juice in a 16 ounce bottled drink is not 16 ounces, as stated by
the bottler. Determine the conclusion of the hypothesis test
assuming that the results of the sampling lead to rejection of the
null hypothesis.
A. Conclusion: Support the claim that the mean is equal to 16
ounces.
B. Conclusion: Support the claim that the mean is greater than
16 ounces.
C. Conclusion: Support the claim that the mean is not equal to
16 ounces.
D. Conclusion: Support the claim that the mean is less than 16
ounces.
Question 20 of 40
0.0/ 2.5 Points
14. A nationwide study of American homeowners revealed that 65%
have one or more lawn mowers. A lawn equipment
manufacturer, located in Omaha, feels the estimate is too low
for households in Omaha. Find the P-value for a test of the
claim that the proportion with lawn mowers in Omaha is higher
than 65%. Among 497 randomly selected homes in Omaha, 340
had one or more lawn mowers. Use Table 5.1 to find the best
answer.
A. 0.0559
B. 0.1118
C. 0.0252
D. 0.0505
Part 2 of 2 -
0.0/ 50.0 Points
Question 21 of 40
0.0/ 2.5 Points
One hundred people are selected at random and tested for
colorblindness to determine whether gender and colorblindness
are independent. The following counts were observed.
Colorblind
Not Colorblind
Total
Male
8
52
60
Female
2
38
40
15. Total
10
90
100
Find the value of the X
2
statistic for the data above.
A. 1.463
B. 1.852
C. 1.947
D. 1.949
Question 22 of 40
0.0/ 2.5 Points
A golfer wished to find a ball that would travel more than 160
yards when hit with his 7-iron with a club speed of 90 miles per
hour. He had a golf equipment lab test a low compression ball
by having a robot swing his club 8 times at the required speed.
Data from this test resulted in a sample mean of 163.2 yards
with a sample standard deviation of 5.8 yards. Assuming
normality, carry out a hypothesis test at the 0.05 significance
level to determine whether the ball meets the golfer’s
requirements. Use the partial t-table below to solve this
problem.
Area in one tail
0.025
0.05
Area in two tails
Degrees of
Freedom
16. n - 1
0.05
0.10
6
2.447
1.943
7
2.365
1.895
8
2.306
1.860
9
2.262
1.833
A.
Do not reject the null hypothesis. The data do not provide
sufficient
evidence that the average distance is greater than 160 yards.
B. Reject the null hypothesis. The data does provide sufficient
evidence that the average distance is greater than 160 yards.
C. t= 1.2334; Critical value = 1.992
D. Insufficient information to answer this question.
Question 23 of 40
0.0/ 2.5 Points
A golfer wished to find a ball that would travel more than 170
yards when hit with his 6-iron with a club head speed of 90
miles per hour. He had a golf equipment lab test a low
compression ball by having a robot swing his club 12 times at
the required speed.
Data from this test had a sample mean of 171.6 yards with a
sample standard deviation of 2.4 yards. Assuming normality,
17. carry out a hypothesis test at the 0.05 significance level to
determine whether the ball meets the golfer’s requirements. Use
the partial t-table below.
Area in one tail
0.025
0.05
Area in two tails
Degrees of
Freedom
n - 1
0.05
0.10
6
2.447
1.943
7
2.365
1.895
8
2.306
1.860
9
2.262
1.833
A.
Accept the null hypothesis. The data do not provide sufficient
evidence that the average distance is greater than 170 yards.
B. Accept the null hypothesis. The data do provide sufficient
evidence that the average distance is greater than 170 yards.
C. Reject the null hypothesis. The data do not provide sufficient
18. evidence that the average distance is greater than 170 yards.
D. Reject the null hypothesis. The data do provide sufficient
evidence that the average distance is greater than 170 yards.
Question 24 of 40
0.0/ 2.5 Points
One hundred people are selected at random and tested for
colorblindness to determine whether gender and colorblindness
are independent. The following counts were observed.
Colorblind
Not Colorblind
Total
Male
8
52
60
Female
2
38
40
Total
10
90
100
State the null and alternative hypothesis for the test associated
with this data.
A.
H
0
: Colorblindness and gender are dependent characteristics.
H
a
: Colorblindness and gender are not related in any way.
19. B.
H
0
: Colorblindness and gender are dependent characteristics.
H
a
: Colorblindness and gender are related in some way.
C.
H
0
: Colorblindness and gender are independent characteristics.
H
a
: Colorblindness and gender are not related in any way.
D.
H
0
: Colorblindness and gender are independent characteristics.
H
a
: Colorblindness and gender are related in some way.
Question 25 of 40
0.0/ 2.5 Points
Which of the following statements is true?
A.
The t distribution can be used when finding a confidence
interval for the population mean whenever the sample size is
small.
B. The p distribution can be used when finding a confidence
interval for the population mean whenever the sample size is
small.
20. C. The t distribution cannot be used when finding a confidence
interval for the population mean whenever the sample size is
small.
D. The p distribution cannot be used when finding a confidence
interval for the sample mean whenever the sample size is small.
Question 26 of 40
0.0/ 2.5 Points
A large test statistic F tells us that the sample means
__________ the data within the individual samples, which
would be unlikely if the populations means really were equal
(as the null hypothesis claims).
A. differ more than
B. differ less than
C. are equal to
D. do not vary with
Question 27 of 40
0.0/ 2.5 Points
A golfer wished to find a ball that would travel more than 170
yards when hit with his 6-iron with a club head speed of 90
miles per hour. He had a golf equipment lab test a low
compression ball by having a robot swing his club 12 times at
the required speed. State the null and alternative hypotheses for
this test.
A.
H
0
: µ > 170; H
a
: µ = 170
21. B.
H
0
: µ < 170; H
a
: µ = 170
C.
H
0
: µ = 170; H
a
: µ > 170
D.
H
0
: µ = 160; H
a
: µ > 160
Question 28 of 40
0.0/ 2.5 Points
The margin of error in estimating the population mean of a
normal population is E = 9.3 when the sample size is 15. If the
sample size had been 18 and the sample standard deviation did
not change, would the margin of error be larger or smaller than
9.3? Explain your answer.
A. Smaller. E decreases as the square root of the sample size
gets larger.
B. Smaller. E increases as the square root of the sample size
gets larger.
C. Larger. E decreases as the square root of the sample size gets
larger.
22. D. Larger. E increases as the square root of the sample size gets
larger.
Question 29 of 40
0.0/ 2.5 Points
One hundred people are selected at random and tested for
colorblindness to determine whether gender and colorblindness
are independent.
The critical value of X
2
for a 2 x 2 table using a 0.05 significance level is 3.841. If the
value of the X
2
statistic is 4.613, state your conclusion about the relationship
between gender and colorblindness.
A.
Reject H
0
. There is not sufficient evidence to support the claim that
gender and colorblindness are related.
B.
Reject H
0
. There is sufficient evidence to support the claim that gender
and colorblindness are related.
C.
Do not Reject H
0
. There is sufficient evidence to support the claim that gender
and colorblindness are related.
D.
Do not Reject H
23. 0
. There is not sufficient evidence to support the claim that
gender and colorblindness are related.
Question 30 of 40
0.0/ 2.5 Points
One hundred people are selected at random and tested for
colorblindness to determine whether gender and colorblindness
are independent.
The critical value of X
2
for a 2 x 2 table using a 0.05 significance level is 3.841. If the
value of the X
2
statistic is 3.179, state your conclusion about the relationship
between gender and colorblindness.
A.
Do not reject H
0
.
B.
Reject H
0
.
C.
There is sufficient evidence to support the claim that gender and
colorblindness are not related.
D.
There is not sufficient evidence to accept or reject H
0
.
Question 31 of 40
24. 0.0/ 2.5 Points
A 95% confidence interval for the mean of a normal population
is found to be 13.2 < µ < 22.4. What is the margin of error?
A. 4.6
B. 4.4
C. 4.2
D. 5.6
Question 32 of 40
0.0/ 2.5 Points
One hundred people are selected at random and tested for
colorblindness to determine whether gender and colorblindness
are independent. The following counts were observed.
Colorblind
Not Colorblind
Total
Male
7
53
60
Female
1
39
40
Total
8
92
100
If gender and colorblindness are independent, find the expected
values corresponding to the female combinations of gender and
colorblindness.
A. Colorblind Female 4.8; Not Colorblind Female 55.2
25. B. Colorblind Female 3.2; Not Colorblind Female 36.8
C. Colorblind Female 4.8; Not Colorblind Female 35.2
D. Colorblind Female 3.8; Not Colorblind Female 36.2
Question 33 of 40
0.0/ 2.5 Points
The __________ test statistic is for the one-way analysis of
variance.
A. P-Value
B. t
C. F
D. p
Question 34 of 40
0.0/ 2.5 Points
Which of the following statements is true?
A. The p distribution cannot be used when finding a confidence
interval for the population mean with a small sample anytime
the population standard deviation is unknown.
B. The t distribution can be used when finding a confidence
interval for the population mean with a small sample anytime
the population standard deviation is unknown.
C. The t distribution cannot be used when finding a confidence
interval for the population mean with a small sample anytime
the population standard deviation is unknown.
D. The p distribution can be used when finding a confidence
interval for the population mean with a small sample anytime
26. the population standard deviation is unknown.
Question 35 of 40
0.0/ 2.5 Points
A 95% confidence interval for the mean of a normal population
is found to be 17.6 < µ < 23.6. What is the margin of error?
A. 2.0
B. 2.7
C. 3.0
D. 4.0
Question 36 of 40
0.0/ 2.5 Points
A 95% confidence interval for the mean of a normal population
is found to be 15.6 < µ < 25.2. What is the margin of error?
A. 3.9
B. 4.8
C. 4.9
D. 3.7
Question 37 of 40
0.0/ 2.5 Points
A golfer wished to find a ball that would travel more than 180
yards when hit with his 5-iron with a club speed of 90 miles per
hour. He had a golf equipment lab test a low compression ball
by having a robot swing his club 7 times at the required speed.
Data from this test resulted in a sample mean of 184.2 yards and
a sample standard deviation of 5.8 yards. Assuming normality,
carry out a hypothesis test at the 0.05 significance level to
determine whether the ball meets the golfer’s requirements. Use
27. the partial t-table below.
Area in one tail
0.025
0.05
Area in two tails
Degrees of
Freedom
n - 1
0.05
0.10
6
2.447
1.943
7
2.365
1.895
8
2.306
1.860
9
2.262
1.833
A.
Reject the null hypothesis. The data do not provide sufficient
evidence that the average distance is greater than 180 yards.
B. Reject the null hypothesis. The data do provide sufficient
evidence that the average distance is greater than 180 yards.
C. Do not reject the null hypothesis. The data do provide
sufficient evidence that the average distance is greater than 180
yards.
28. D. Do not reject the null hypothesis. The data do not provide
sufficient evidence that the average distance is greater than 180
yards.
Question 38 of 40
0.0/ 2.5 Points
A 95% confidence interval for the mean of a normal population
is found to be 15.6 < µ < 24.8. What is the margin of error?
A. 4.4
B. 4.6
C. 4.8
D. 5.0
Question 39 of 40
0.0/ 2.5 Points
A golfer wished to find a ball that would travel more than 160
yards when hit with his 7-iron with a club speed of 90 miles per
hour. He had a golf equipment lab test a low compression ball
by having a robot swing his club 8 times at the required speed.
State the null and alternative hypotheses for this test.
A.
H
0
: µ = 160; H
a
: µ > 150
B.
H
0
: µ = 150; H
a
: µ > 150
29. C.
H
0
: µ = 160; H
a
: µ > 160
D.
H
0
: µ = 140; H
a
: µ > 160
Question 40 of 40
0.0/ 2.5 Points
The following data were analyzed using one-way analysis of
variance.
A
B
C
34
27
19
26
23
31
31
29
22
28
21
22
Which one of the following statements is correct?
A.
30. The purpose of the analysis is to determine whether the groups
A, B, and C are independent.
B. The purpose of the analysis is to test the hypothesis that the
population means of the three groups are equal.
C. The purpose of the analysis is to test the hypothesis that the
population variances of the three groups are equal.
D. The purpose of the analysis is to test the hypothesis that the
sample means of the three groups are equal.
0.0/ 2.5 Points
The distribution of B.A. degrees conferred by a local college is
listed below, by major.
Major
Frequency
English 2073
Mathematics 2164
Chemistry 318
Physics 856
Liberal Arts 1358
Business 1676
Engineering
868
9313
What is the probability that a randomly selected degree is not in
Business?
A. 0.7800
B. 0.8200
31. C. 0.8300
D. 0.9200
Question 7 of 40
2.5/ 2.5 Points
The probability that Luis will pass his statistics test is 0.94.
Find the probability that he will fail his statistics test.
A. 0.02
B. 0.05
C. 0.94
D. 0.06
Question 8 of 40
2.5/ 2.5 Points
Suppose you have an extremely unfair coin: the probability of a
head is 1/5, and the probability of a tail is 4/5. If you toss the
coin 40 times, how many heads do you expect to see?
A. 8
B. 6
C. 5
D. 4
Question 9 of 40
2.5/ 2.5 Points
A committee of three people is to be formed. The three people
will be selected from a list of five possible committee members.
A simple random sample of three people is taken, without
replacement, from the group of five people. Using the letters A,
B, C, D, E to represent the five people, list the possible samples
32. of size three and use your list to determine the probability that
B is included in the sample. (Hint: There are 10 possible
samples.)
A. 0.6
B. 0.4
C. 0.7
D. 0.8
Question 10 of 40
0.0/ 2.5 Points
If a person is randomly selected, find the probability that his or
her birthday is not in May. Ignore leap years. There are 365
days in a year. Express your answer as a fraction.
A. 335/365
B. 334/365
C. 336/365
D. 30/365
Question 11 of 40
2.5/ 2.5 Points
A bag contains four chips of which one is red, one is blue, one
is green, and one is yellow. A chip is selected at random from
the bag and then replaced in the bag. A second chip is then
selected at random. Make a list of the possible outcomes (for
example, RB represents the outcome red chip followed by blue
chip) and use your list to determine the probability that the two
chips selected are the same color. (Hint: There are 16 possible
outcomes.)
A. 1/4
33. B. 3/4
C. 2/16
D. 3/16
Question 12 of 40
0.0/ 2.5 Points
If you flip a coin three times, the possible outcomes are HHH,
HHT, HTH, HTT, THH, THT, TTH, TTT. What is the
probability that at least two heads occur consecutively?
A. 1/8
B. 3/8
C. 5/8
D. 6/8
Question 13 of 40
0.0/ 2.5 Points
In the first series of rolls of a die, the number of odd numbers
exceeded the number of even numbers by 5. In the second series
of rolls of the same die, the number of odd numbers exceeded
the number of even numbers by 11. Determine which series is
closer to the 50/50 ratio of odd/even expected of a fairly rolled
die.
A. The second series is closer because the difference between
odd and even numbers is greater than the difference for the first
series.
B. The first series is closer because the difference between odd
and even numbers is less than the difference for the second
series.
C. Since 1/2 > 1/5 > 1/11, the first series is closer.
34. D. The series closer to the theoretical 50/50 cannot be
determined unless the total number of rolls for both series is
given.
Question 14 of 40
2.5/ 2.5 Points
A bag contains 4 red marbles, 3 blue marbles, and 7 green
marbles. If a marble is randomly selected from the bag, what is
the probability that it is blue?
A. 2/11
B. 3/11
C. 5/14
D. 3/14
Question 15 of 40
0.0/ 2.5 Points
Sammy and Sally each carry a bag containing a banana, a
chocolate bar, and a licorice stick. Simultaneously, they take
out a single food item and consume it. The possible pairs of
food items that Sally and Sammy consumed are as follows.
chocolate bar - chocolate bar
licorice stick - chocolate bar
banana - banana
chocolate bar - licorice stick
licorice stick - licorice stick
chocolate bar – banana
banana - licorice stick
licorice stick - banana
banana - chocolate bar
Find the probability that no chocolate bar was eaten.
A. 4/9
35. B. 5/9
C. 7/9
D. 5/8
Question 16 of 40
2.5/ 2.5 Points
If you flip a coin three times, the possible outcomes are HHH,
HHT, HTH, HTT, THH, THT, TTH, TTT. What is the
probability of getting at least two tails?
A. 1/2
B. 2/3
C. 3/4
D. 4/9
Question 17 of 40
2.5/ 2.5 Points
A sample space consists of 46 separate events that are equally
likely. What is the probability of each?
A. 1/24
B. 1/46
C. 1/32
D. 1/18
Question 18 of 40
2.5/ 2.5 Points
Suppose you pay $1.00 to roll a fair die with the understanding
that you will get back $3.00 for rolling a 5 or a 2, nothing
otherwise. What is your expected value?
36. A. $1.00
B. $0.00
C. $3.00
D. −$1.00
Question 19 of 40
0.0/ 2.5 Points
A study of 600 college students taking Statistics 101 revealed
that 54 students received the grade of A. Typically 10% of the
class gets an A. The difference between this group of students
and the expected value is not significant at the 0.05 level. What
does this mean in this case?
A. The probability that the difference occurred due to chance is
less than 0.05.
B. The probability of getting an A is 10% and only 9% got an A
in this study. The difference is less than 5% so it is not
significant.
C. There is not enough information to make any conclusion.
D. The probability that the difference occurred due to chance is
more than 0.05.
Question 20 of 40
0.0/ 2.5 Points
A 28-year-old man pays $125 for a one-year life insurance
policy with coverage of $140,000. If the probability that he will
live through the year is 0.9994, to the nearest dollar, what is the
man’s expected value for the insurance policy?
A. $139,916
B. −$41
37. C. $84
D. −$124
Part 2 of 2 -
0.0/ 50.0 Points
Question 21 of 40
0.0/ 2.5 Points
Which point below would be an outlier if it were on the
following graph?
A. (25, 20)
B. (5, 12)
C. (7, 5)
D. (5, 3)
Question 22 of 40
0.0/ 2.5 Points
Among a random sample of 500 college students, the mean
number of hours worked per week at non-college related jobs is
14.6. This mean lies 0.4 standard deviations below the mean of
the sampling distribution. If a second sample of 500 students is
selected, what is the probability that for the second sample, the
mean number of hours worked will be less than 14.6?
A. 0.5
B. 0.6179
C. 0.6554
D. 0.3446
38. Question 23 of 40
0.0/ 2.5 Points
The scatter plot and best-fit line show the relation among the
number of cars waiting by a school (y) and the amount of time
after the end of classes (x) in arbitrary units. The correlation
coefficient is -0.55. Determine the amount of variation in the
number of cars not explained by the variation time after school.
A. 55%
B. 70%
C. 30%
D. 45%
Question 24 of 40
0.0/ 2.5 Points
Among a random sample of 150 employees of a particular
company, the mean commute distance is 29.6 miles. This mean
lies 1.2 standard deviations above the mean of the sampling
distribution. If a second sample of 150 employees is selected,
what is the probability that for the second sample, the mean
commute distance will be less than 29.6 miles?
A. 0.8849
B. 0.5
C. 0.1131
D. 0.1151
Question 25 of 40
0.0/ 2.5 Points
A researcher wishes to estimate the proportion of college
students who cheat on exams. A poll of 560 college students
showed that 27% of them had, or intended to, cheat on
39. examinations. Find the 95% confidence interval.
A. 0.2323 to 0.3075
B. 0.2325 to 0.3075
C. 0.2325 to 0.3185
D. 0.2323 to 0.3185
Question 26 of 40
0.0/ 2.5 Points
Which line of the three shown in the scatter diagram below fits
the data best?
A. A
B. B
C. C
D. All the lines are equally good
Question 27 of 40
0.0/ 2.5 Points
Which graph has two groups of data, correlations within each
group, but no correlation among all the data?
A.
B.
C.
D.
Question 28 of 40
0.0/ 2.5 Points
A researcher wishes to estimate the mean amount of money
40. spent per month on food by households in a certain
neighborhood. She desires a margin of error of $30. Past studies
suggest that a population standard deviation of $248 is
reasonable. Estimate the minimum sample size needed to
estimate the population mean with the stated accuracy.
A. 274
B. 284
C. 264
D. 272
Question 29 of 40
0.0/ 2.5 Points
Select the best fit line on the scatter diagram below.
A. A
B. B
C. C
D. All of the lines are equally good
Question 30 of 40
0.0/ 2.5 Points
Select the best fit line on the scatter diagram below.
A. A
B. B
C. C
D. None of the lines is the line of best fit
Question 31 of 40
41. 0.0/ 2.5 Points
A random sample of 30 households was selected from a
particular neighborhood. The number of cars for each household
is shown below. Estimate the mean number of cars per
household for the population of households in this
neighborhood. Give the 95% confidence interval.
A. 1.14 to 1.88
B. 1.12 to 1.88
C. 1.12 to 1.98
D. 1.14 to 1.98
Question 32 of 40
0.0/ 2.5 Points
The graph shows a measure of fitness (y) and miles walked
weekly. Identify the probable cause of the correlation.
A. The correlation is coincidental.
B. There is a common underlying cause of the correlation.
C. There is no correlation between the variables.
D. Walking is a direct cause of the fitness.
Question 33 of 40
0.0/ 2.5 Points
Monthly incomes of employees at a particular company have a
mean of $5954. The distribution of sample means for samples of
size 70 is normal with a mean of $5954 and a standard deviation
of $259. Suppose you take a sample of size 70 employees from
the company and find that their mean monthly income is $5747.
How many standard deviations is the sample mean from the
mean of the sampling distribution?
A. 0.8 standard deviations above the mean
42. B. 0.8 standard deviations below the mean
C. 7.3 standard deviations below the mean
D. 207 standard deviations below the mean
Question 34 of 40
0.0/ 2.5 Points
Suggest the cause of the correlation among the data.
The graph shows strength of coffee (y) and number of scoops
used to make 10 cups of coffee (x). Identify the probable cause
of the correlation.
A.
The variation in the x variable is a direct cause of the variation
in
the y variable.
B. There is no correlation between the variables.
C. The correlation is due to a common underlying cause.
D. The correlation between the variables is coincidental.
Question 35 of 40
0.0/ 2.5 Points
A sample of 64 statistics students at a small college had a mean
mathematics ACT score of 28 with a standard deviation of 4.
Estimate the mean mathematics ACT score for all statistics
students at this college. Give the 95% confidence interval.
A. 28.0 to 30.0
B. 25.0 to 27.0
C. 29.0 to 31.0
43. D. 27.0 to 29.0
Question 36 of 40
0.0/ 2.5 Points
30% of the fifth grade students in a large school district read
below grade level. The distribution of sample proportions of
samples of 100 students from this population is normal with a
mean of 0.30 and a standard deviation of 0.045. Suppose that
you select a sample of 100 fifth grade students from this district
and find that the proportion that reads below grade level in the
sample is 0.36. What is the probability that a second sample
would be selected with a proportion less than 0.36?
A. 0.8932
B. 0.8920
C. 0.9032
D. 0.9048
Question 37 of 40
0.0/ 2.5 Points
Of the 6796 students in one school district, 1537 cannot read up
to grade level. Among a sample of 812 of the students from this
school district, 211 cannot read up to grade level. Find the
sample proportion of students who cannot read up to grade
level.
A. 0.14
B. 0.26
C. 211
D. 0.23
44. Question 38 of 40
0.0/ 2.5 Points
A population proportion is to be estimated. Estimate the
minimum sample size needed to achieve a margin of error E =
0.01with a 95% degree of confidence.
A. 7,000
B. 8,000
C. 9,000
D. 10,000
Question 39 of 40
0.0/ 2.5 Points
The scatter plot and best-fit line show the relation between the
price per item (y) and the availability of that item (x) in
arbitrary units. The correlation coefficient is -0.95. Determine
the amount of variation in pricing explained by the variation in
availability.
A. 5%
B. 10%
C. 95%
D. 90%
Question 40 of 40
0.0/ 2.5 Points
In a poll of 400 voters in a certain state, 61% said that they
opposed a voter ID bill that might hinder some legitimate voters
from voting. The margin of error in the poll was reported as 4
percentage points (with a 95% degree of confidence). Which
statement is correct?
A. The reported margin of error is consistent with the sample
45. size.
B. There is not enough information to determine whether the
margin of error is consistent with the sample size.
C. The sample size is too small to achieve the stated margin of
error.
D. For the given sample size, the margin of error should be
smaller than stated.
0.0/ 2.5 Points
The distribution of B.A. degrees conferred by a local college is
listed below, by major.
Major
Frequency
English 2073
Mathematics 2164
Chemistry 318
Physics 856
Liberal Arts 1358
Business 1676
Engineering
868
9313
What is the probability that a randomly selected degree is not in
Business?
A. 0.7800
B. 0.8200
C. 0.8300
46. D. 0.9200
Question 7 of 40
2.5/ 2.5 Points
The probability that Luis will pass his statistics test is 0.94.
Find the probability that he will fail his statistics test.
A. 0.02
B. 0.05
C. 0.94
D. 0.06
Question 8 of 40
2.5/ 2.5 Points
Suppose you have an extremely unfair coin: the probability of a
head is 1/5, and the probability of a tail is 4/5. If you toss the
coin 40 times, how many heads do you expect to see?
A. 8
B. 6
C. 5
D. 4
Question 9 of 40
2.5/ 2.5 Points
A committee of three people is to be formed. The three people
will be selected from a list of five possible committee members.
A simple random sample of three people is taken, without
replacement, from the group of five people. Using the letters A,
B, C, D, E to represent the five people, list the possible samples
of size three and use your list to determine the probability that
47. B is included in the sample. (Hint: There are 10 possible
samples.)
A. 0.6
B. 0.4
C. 0.7
D. 0.8
Question 10 of 40
0.0/ 2.5 Points
If a person is randomly selected, find the probability that his or
her birthday is not in May. Ignore leap years. There are 365
days in a year. Express your answer as a fraction.
A. 335/365
B. 334/365
C. 336/365
D. 30/365
Question 11 of 40
2.5/ 2.5 Points
A bag contains four chips of which one is red, one is blue, one
is green, and one is yellow. A chip is selected at random from
the bag and then replaced in the bag. A second chip is then
selected at random. Make a list of the possible outcomes (for
example, RB represents the outcome red chip followed by blue
chip) and use your list to determine the probability that the two
chips selected are the same color. (Hint: There are 16 possible
outcomes.)
A. 1/4
B. 3/4
48. C. 2/16
D. 3/16
Question 12 of 40
0.0/ 2.5 Points
If you flip a coin three times, the possible outcomes are HHH,
HHT, HTH, HTT, THH, THT, TTH, TTT. What is the
probability that at least two heads occur consecutively?
A. 1/8
B. 3/8
C. 5/8
D. 6/8
Question 13 of 40
0.0/ 2.5 Points
In the first series of rolls of a die, the number of odd numbers
exceeded the number of even numbers by 5. In the second series
of rolls of the same die, the number of odd numbers exceeded
the number of even numbers by 11. Determine which series is
closer to the 50/50 ratio of odd/even expected of a fairly rolled
die.
A. The second series is closer because the difference between
odd and even numbers is greater than the difference for the first
series.
B. The first series is closer because the difference between odd
and even numbers is less than the difference for the second
series.
C. Since 1/2 > 1/5 > 1/11, the first series is closer.
49. D. The series closer to the theoretical 50/50 cannot be
determined unless the total number of rolls for both series is
given.
Question 14 of 40
2.5/ 2.5 Points
A bag contains 4 red marbles, 3 blue marbles, and 7 green
marbles. If a marble is randomly selected from the bag, what is
the probability that it is blue?
A. 2/11
B. 3/11
C. 5/14
D. 3/14
Question 15 of 40
0.0/ 2.5 Points
Sammy and Sally each carry a bag containing a banana, a
chocolate bar, and a licorice stick. Simultaneously, they take
out a single food item and consume it. The possible pairs of
food items that Sally and Sammy consumed are as follows.
chocolate bar - chocolate bar
licorice stick - chocolate bar
banana - banana
chocolate bar - licorice stick
licorice stick - licorice stick
chocolate bar – banana
banana - licorice stick
licorice stick - banana
banana - chocolate bar
Find the probability that no chocolate bar was eaten.
A. 4/9
B. 5/9
50. C. 7/9
D. 5/8
Question 16 of 40
2.5/ 2.5 Points
If you flip a coin three times, the possible outcomes are HHH,
HHT, HTH, HTT, THH, THT, TTH, TTT. What is the
probability of getting at least two tails?
A. 1/2
B. 2/3
C. 3/4
D. 4/9
Question 17 of 40
2.5/ 2.5 Points
A sample space consists of 46 separate events that are equally
likely. What is the probability of each?
A. 1/24
B. 1/46
C. 1/32
D. 1/18
Question 18 of 40
2.5/ 2.5 Points
Suppose you pay $1.00 to roll a fair die with the understanding
that you will get back $3.00 for rolling a 5 or a 2, nothing
otherwise. What is your expected value?
A. $1.00
51. B. $0.00
C. $3.00
D. −$1.00
Question 19 of 40
0.0/ 2.5 Points
A study of 600 college students taking Statistics 101 revealed
that 54 students received the grade of A. Typically 10% of the
class gets an A. The difference between this group of students
and the expected value is not significant at the 0.05 level. What
does this mean in this case?
A. The probability that the difference occurred due to chance is
less than 0.05.
B. The probability of getting an A is 10% and only 9% got an A
in this study. The difference is less than 5% so it is not
significant.
C. There is not enough information to make any conclusion.
D. The probability that the difference occurred due to chance is
more than 0.05.
Question 20 of 40
0.0/ 2.5 Points
A 28-year-old man pays $125 for a one-year life insurance
policy with coverage of $140,000. If the probability that he will
live through the year is 0.9994, to the nearest dollar, what is the
man’s expected value for the insurance policy?
A. $139,916
B. −$41
52. C. $84
D. −$124
Part 2 of 2 -
0.0/ 50.0 Points
Question 21 of 40
0.0/ 2.5 Points
Which point below would be an outlier if it were on the
following graph?
A. (25, 20)
B. (5, 12)
C. (7, 5)
D. (5, 3)
Question 22 of 40
0.0/ 2.5 Points
Among a random sample of 500 college students, the mean
number of hours worked per week at non-college related jobs is
14.6. This mean lies 0.4 standard deviations below the mean of
the sampling distribution. If a second sample of 500 students is
selected, what is the probability that for the second sample, the
mean number of hours worked will be less than 14.6?
A. 0.5
B. 0.6179
C. 0.6554
D. 0.3446
Question 23 of 40
53. 0.0/ 2.5 Points
The scatter plot and best-fit line show the relation among the
number of cars waiting by a school (y) and the amount of time
after the end of classes (x) in arbitrary units. The correlation
coefficient is -0.55. Determine the amount of variation in the
number of cars not explained by the variation time after school.
A. 55%
B. 70%
C. 30%
D. 45%
Question 24 of 40
0.0/ 2.5 Points
Among a random sample of 150 employees of a particular
company, the mean commute distance is 29.6 miles. This mean
lies 1.2 standard deviations above the mean of the sampling
distribution. If a second sample of 150 employees is selected,
what is the probability that for the second sample, the mean
commute distance will be less than 29.6 miles?
A. 0.8849
B. 0.5
C. 0.1131
D. 0.1151
Question 25 of 40
0.0/ 2.5 Points
A researcher wishes to estimate the proportion of college
students who cheat on exams. A poll of 560 college students
showed that 27% of them had, or intended to, cheat on
examinations. Find the 95% confidence interval.
54. A. 0.2323 to 0.3075
B. 0.2325 to 0.3075
C. 0.2325 to 0.3185
D. 0.2323 to 0.3185
Question 26 of 40
0.0/ 2.5 Points
Which line of the three shown in the scatter diagram below fits
the data best?
A. A
B. B
C. C
D. All the lines are equally good
Question 27 of 40
0.0/ 2.5 Points
Which graph has two groups of data, correlations within each
group, but no correlation among all the data?
A.
B.
C.
D.
Question 28 of 40
0.0/ 2.5 Points
A researcher wishes to estimate the mean amount of money
spent per month on food by households in a certain
55. neighborhood. She desires a margin of error of $30. Past studies
suggest that a population standard deviation of $248 is
reasonable. Estimate the minimum sample size needed to
estimate the population mean with the stated accuracy.
A. 274
B. 284
C. 264
D. 272
Question 29 of 40
0.0/ 2.5 Points
Select the best fit line on the scatter diagram below.
A. A
B. B
C. C
D. All of the lines are equally good
Question 30 of 40
0.0/ 2.5 Points
Select the best fit line on the scatter diagram below.
A. A
B. B
C. C
D. None of the lines is the line of best fit
Question 31 of 40
0.0/ 2.5 Points
56. A random sample of 30 households was selected from a
particular neighborhood. The number of cars for each household
is shown below. Estimate the mean number of cars per
household for the population of households in this
neighborhood. Give the 95% confidence interval.
A. 1.14 to 1.88
B. 1.12 to 1.88
C. 1.12 to 1.98
D. 1.14 to 1.98
Question 32 of 40
0.0/ 2.5 Points
The graph shows a measure of fitness (y) and miles walked
weekly. Identify the probable cause of the correlation.
A. The correlation is coincidental.
B. There is a common underlying cause of the correlation.
C. There is no correlation between the variables.
D. Walking is a direct cause of the fitness.
Question 33 of 40
0.0/ 2.5 Points
Monthly incomes of employees at a particular company have a
mean of $5954. The distribution of sample means for samples of
size 70 is normal with a mean of $5954 and a standard deviation
of $259. Suppose you take a sample of size 70 employees from
the company and find that their mean monthly income is $5747.
How many standard deviations is the sample mean from the
mean of the sampling distribution?
A. 0.8 standard deviations above the mean
57. B. 0.8 standard deviations below the mean
C. 7.3 standard deviations below the mean
D. 207 standard deviations below the mean
Question 34 of 40
0.0/ 2.5 Points
Suggest the cause of the correlation among the data.
The graph shows strength of coffee (y) and number of scoops
used to make 10 cups of coffee (x). Identify the probable cause
of the correlation.
A.
The variation in the x variable is a direct cause of the variation
in
the y variable.
B. There is no correlation between the variables.
C. The correlation is due to a common underlying cause.
D. The correlation between the variables is coincidental.
Question 35 of 40
0.0/ 2.5 Points
A sample of 64 statistics students at a small college had a mean
mathematics ACT score of 28 with a standard deviation of 4.
Estimate the mean mathematics ACT score for all statistics
students at this college. Give the 95% confidence interval.
A. 28.0 to 30.0
B. 25.0 to 27.0
C. 29.0 to 31.0
58. D. 27.0 to 29.0
Question 36 of 40
0.0/ 2.5 Points
30% of the fifth grade students in a large school district read
below grade level. The distribution of sample proportions of
samples of 100 students from this population is normal with a
mean of 0.30 and a standard deviation of 0.045. Suppose that
you select a sample of 100 fifth grade students from this district
and find that the proportion that reads below grade level in the
sample is 0.36. What is the probability that a second sample
would be selected with a proportion less than 0.36?
A. 0.8932
B. 0.8920
C. 0.9032
D. 0.9048
Question 37 of 40
0.0/ 2.5 Points
Of the 6796 students in one school district, 1537 cannot read up
to grade level. Among a sample of 812 of the students from this
school district, 211 cannot read up to grade level. Find the
sample proportion of students who cannot read up to grade
level.
A. 0.14
B. 0.26
C. 211
D. 0.23
Question 38 of 40
59. 0.0/ 2.5 Points
A population proportion is to be estimated. Estimate the
minimum sample size needed to achieve a margin of error E =
0.01with a 95% degree of confidence.
A. 7,000
B. 8,000
C. 9,000
D. 10,000
Question 39 of 40
0.0/ 2.5 Points
The scatter plot and best-fit line show the relation between the
price per item (y) and the availability of that item (x) in
arbitrary units. The correlation coefficient is -0.95. Determine
the amount of variation in pricing explained by the variation in
availability.
A. 5%
B. 10%
C. 95%
D. 90%
Question 40 of 40
0.0/ 2.5 Points
In a poll of 400 voters in a certain state, 61% said that they
opposed a voter ID bill that might hinder some legitimate voters
from voting. The margin of error in the poll was reported as 4
percentage points (with a 95% degree of confidence). Which
statement is correct?
A. The reported margin of error is consistent with the sample
size.
60. B. There is not enough information to determine whether the
margin of error is consistent with the sample size.
C. The sample size is too small to achieve the stated margin of
error.
D. For the given sample size, the margin of error should be
smaller than stated.