1) A person\'s level of blood glucose and diabetes are closely related. Let x be a random variable
measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-
hour fast, the random variable x will have a distribution that is approximately normal with mean
mc033-1.jpg = 90 and standard deviation of mc033-2.jpg = 29. What is the probability that, for
an adult after a 12-hour fast, x is between 85 and 137?
Answer
a. 0.432
b. 0.500
c. 0.516
d. 0.053
e. 0.690
2) Find z such that 48.8% of the standard normal curve lies between -z and z.
Answer
a. 0.656
b. 0.936
c. 0.205
d. 0.154
e. 0.123
3) The heights of 18-year-old men are approximately normally distributed with mean 68 inches
and standard deviation 3 inches. What is the probability that the average height mc050-1.jpg of a
sample of ten 18-year-old men will be between 69 and 71 inches?
Answer
a. 0.1461
b. 0.8539
c. 0.2922
d. 0.1611
e. 0.3539
4) The heights of 18-year-old men are approximately normally distributed with mean 68 inches
and standard deviation 3 inches. What is the probability that the average height mc049-1.jpg of
a sample of ten 18-year-old men will be less than 70 inches? Round your answer to four decimal
places.
Answer
a. 0.0174
b. 0.4826
c. 0.4913
d. 0.9826
e. 0.9652
5) How do frequency tables, relative frequencies, and histograms showing relative frequencies
help us understand sampling distributions?
Answer
a. They help us visualize the probability distribution through tables and graphs that
approximately represent the random sampling distribution.
b. They help us to measure or estimate of the likelihood of a certain statistic falling within the
class bounds.
c. They help us visualize the sampling distribution through tables and graphs that approximately
represent the sampling distribution.
d. They help us visualize the probability distribution through tables and graphs that
approximately represent the population distribution.
6) True or False? The standard error of a sampling distribution is the difference between the
mean and the standard deviation.
Answer
True
False
7) The heights of 18-year-old men are approximately normally distributed with mean 68 inches
and standard deviation 3 inches. What is the probability that an 18-year-old man selected at
random is greater than 72 inches tall?
Answer
a. 0.0918
b. 0.1836
c. 0.8164
d. 0.9082
e. 0.4082
8) What is the standard deviation of a sampling distribution called?
Answer
a. the variance
b. the mean
c. the expected value
d. the standard error
9) Assuming that the heights of college women are normally distributed with mean 63 inches
and standard deviation 3.5 inches, what percentage of women are taller than 56 inches?
Answer
a. 97.7%
b. 99.9%
c. 84.1%
d. 2.3%
e. 50.0%
10) Is the standard score positive or negative when the raw score is 6 and the mean is 4?
Answer
a. The standard score is negative.
b. The standard score is positive.
11) Find the area under the standard normal curve over the i.
1) A persons level of blood glucose and diabetes are closely relat.pdf
1. 1) A person's level of blood glucose and diabetes are closely related. Let x be a random variable
measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-
hour fast, the random variable x will have a distribution that is approximately normal with mean
mc033-1.jpg = 90 and standard deviation of mc033-2.jpg = 29. What is the probability that, for
an adult after a 12-hour fast, x is between 85 and 137?
Answer
a. 0.432
b. 0.500
c. 0.516
d. 0.053
e. 0.690
2) Find z such that 48.8% of the standard normal curve lies between -z and z.
Answer
a. 0.656
b. 0.936
c. 0.205
d. 0.154
e. 0.123
3) The heights of 18-year-old men are approximately normally distributed with mean 68 inches
and standard deviation 3 inches. What is the probability that the average height mc050-1.jpg of a
sample of ten 18-year-old men will be between 69 and 71 inches?
Answer
a. 0.1461
b. 0.8539
c. 0.2922
d. 0.1611
e. 0.3539
4) The heights of 18-year-old men are approximately normally distributed with mean 68 inches
2. and standard deviation 3 inches. What is the probability that the average height mc049-1.jpg of
a sample of ten 18-year-old men will be less than 70 inches? Round your answer to four decimal
places.
Answer
a. 0.0174
b. 0.4826
c. 0.4913
d. 0.9826
e. 0.9652
5) How do frequency tables, relative frequencies, and histograms showing relative frequencies
help us understand sampling distributions?
Answer
a. They help us visualize the probability distribution through tables and graphs that
approximately represent the random sampling distribution.
b. They help us to measure or estimate of the likelihood of a certain statistic falling within the
class bounds.
c. They help us visualize the sampling distribution through tables and graphs that approximately
represent the sampling distribution.
d. They help us visualize the probability distribution through tables and graphs that
approximately represent the population distribution.
6) True or False? The standard error of a sampling distribution is the difference between the
mean and the standard deviation.
Answer
True
False
7) The heights of 18-year-old men are approximately normally distributed with mean 68 inches
3. and standard deviation 3 inches. What is the probability that an 18-year-old man selected at
random is greater than 72 inches tall?
Answer
a. 0.0918
b. 0.1836
c. 0.8164
d. 0.9082
e. 0.4082
8) What is the standard deviation of a sampling distribution called?
Answer
a. the variance
b. the mean
c. the expected value
d. the standard error
9) Assuming that the heights of college women are normally distributed with mean 63 inches
and standard deviation 3.5 inches, what percentage of women are taller than 56 inches?
Answer
a. 97.7%
b. 99.9%
c. 84.1%
d. 2.3%
e. 50.0%
10) Is the standard score positive or negative when the raw score is 6 and the mean is 4?
Answer
a. The standard score is negative.
b. The standard score is positive.
11) Find the area under the standard normal curve over the interval specified below.To the left
of z = 0
4. Answer
a. 0.841
b. 0.001
c. 0.023
d. 0.159
e. 0.500
12) Assuming that the heights of college women are normally distributed with mean 62 inches
and standard deviation 3.5 inches, what percentage of women are between 58.5 inches and 72.5
inches?
Answer
a. 34.1%
b. 84.0%
c. 15.7%
d. 13.6%
e. 97.6%
13) Raul received a score of 61 on a history test for which the class mean was 51 with standard
deviation 5. He received a score of 71 on a biology test for which the class mean was 66 with
standard deviation 5. On which test did he do better relative to the rest of the class?
Answer
a. history
b. biology
Solution
(3) P(69
