Ap statistics review ch23 24 25_with_answers

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Stat 230 Summer 2014 – Final Exam Page 1 Please answer all 30 questions. Make sure your answers are as complete as possible. Show all of your work and reasoning. In particular, when there are calculations involved, you must show how you come up with your answers with critical work and/or necessary tables. Answers that come straight from program software packages will not be accepted. You must include the Honor Pledge on the title page of your submitted final exam. Exam submitted without the Honor Pledge will not be accepted. Honor Pledge: "I have completed this final examination myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this final examination." Use the information below to answer Questions 1 through 3. Given a sample size of 34, with sample mean 660.3 and sample standard deviation 104.9, we perform the following hypothesis test. Since n>30, this is a Z test. Null Hypothesis 0 : 700H   Alternative Hypothesis : 700aH   1. What is the test statistic? What is the p-value? 2. At a 5% significance level (95% confidence level), what is the critical value(s) in this test? Do we reject the null hypothesis? 3. What are the border values of x between acceptance and rejection of this hypothesis? Stat 230 Summer 2014 – Final Exam Page 2 Questions 4 through 7 involve rolling of dice. 4. Given a fair, six-sided die, what is the probability of rolling the die twice and getting a “1” each time? 5. What is the probability of getting a “1” on the second roll when you get a “1” on the first roll? 6. The House managed to load the die in such a way that the faces “2” and “4” show up twice as frequently as all other faces. Meanwhile, all the other faces still show up with equal frequency. What is the probability of getting a “5” when rolling this loaded die? 7. Write the probability distribution for this loaded die, showing each outcome and its probability. Use the data in the table to answer Questions 8 through 9. x 3 1 4 4 5 y 2 -2 5 4 8 8. Determine SSxx, SSxy, and SSyy. 9. Find the equation of the regression line. What is the predicted value when 4?x  Stat 230 Summer 2014 – Final Exam Page 3 Use the data below to answer Questions 10 through 12. A group of students from three universities were asked to pick their favorite college sport to attend of their choice: The results, in number of students, are listed as follows: Football Basketball Soccer Maryland 60 70 20 Duke 10 75 15 UCLA 35 65 25 Supposed that a student is randomly selected from the group mentioned above. 10. What is the probability that the student is from UCLA or chooses football? 11. What is the probability that the student is from Duke, given that the student chooses basketball? 12. What is the probability that the .

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Midterm 2 – Practice Exercises 1 1. The amount of material used in making a custom sail for a sailboat is normally distributed with a standard deviation of 64 square feet. For a random sample of 15 sails, the mean amount of material used is 912 square feet. Which of the following represents a 99% confidence interval for the population mean amount of material used in a custom sail? A. 912 ± 49.2 B. 912 ± 42.6 C. 912 ± 44.3 D. 912 ± 46.8 2. The number of beverage cans produced each hour from a vending machine is normally distributed with a standard deviation of 8.6. For a random sample of 12 hours, the average number of beverage cans produced was 326.0. Assume a 99% confidence interval for the population mean number of beverage cans produced per hour. Calculate the margin of error of the 99% confidence interval. A. 1.85 B. 3.60 C. 6.41 D. 10.56 3. The number of beverage cans produced each hour from a vending machine is normally distributed with a standard deviation of 8.6. For a random sample of 12 hours, the average number of beverage cans produced was 326.0. Assume a 99% confidence interval for the population mean number of beverage cans produced per hour. Find the upper confidence limit of the 99% confidence interval. A. 340.25 B. 325.98 C. 319.59 D. 332.41 4. If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect A. the size of the confidence interval to increase B. the size of the confidence interval to decrease C. the size of the confidence interval to remain the same D. the sample size to increase Midterm 2 – Practice Exercises 2 5. If a sample has 20 observations and a 90% confidence estimate for µ is needed, the appropriate t‐score is: A. 2.120 B. 1.746 C. 2.131 D. 1.729 6. We are interested in conducting a study to determine what percentage of voters would vote for the incumbent member of parliament. What is the minimum size sample needed to estimate the population proportion with a margin of error of 0.07 or less at 95% confidence? A. 200 B. 100 C. 58 D. 196 7. The sample size needed to provide a margin of error of 2 or less with a 0.95 confidence coefficient when the population standard deviation equals 11 is A. 10 B. 11 C. 116 D. 117 8. The manager of the local health club is interested in determining the number of times members use the weight room per month. She takes a random sample of 15 members and finds that over the course of a month, the average number of visits was 11.2 with a standard deviation of 3.2. Assuming that the monthly number of visits is normally distributed, which of the following represents a 95% confidence interval for the average monthly usage of all health club members? A. 11.2 ± 1.74 B. 11.2 ± 1.77 C. 11.2 ± 1.62 D. 11.2 ± 1.83 Midterm 2 – Practice Exercises 3 9. The s.

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