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Part One: Name the procedure. On the following pages there are 9 questions and 9 procedures. Match the problem to the procedure. Each procedure is only used once. 1. ______ 2. ______ 3. ______ 4. ______ 5. ______ 6. ______ 7. ______ 8. ______ 9. ______ A. One proportion z-interval (𝑝) B. One proportion z-test (𝑝) C. One sample t-interval (𝜇) D. One sample t-test (𝜇) E. Two proportion z-interval (𝑝! − 𝑝") F. Two proportion z-test (𝑝! − 𝑝") G. Two-sample t-interval (𝜇! − 𝜇") H. Two-sample t-test (𝜇! − 𝜇") I. Matched pairs t-interval (𝜇#) Part Two: Choose any 2 hypothesis tests and 1 confidence interval to complete. [Don’t do all of these!] Test the claims or construct the intervals using PHANTOMS or PANIC. Show all of your steps and label the parts. 1. Dannon is supposed to put 29.6 grams of fruit in their fruit-flavored yogurt. To see if enough fruit is being placed in cups of fruit-flavored yogurt, a quality inspector measured the amount in 27 containers. She found an average of 28.9 grams of fruit and standard deviation of 2.8 grams. Does this show evidence that there is enough yogurt in the cups? 2. The manufacturer of a particular brand of microwave popcorn claims that only 2 percent of its kernels of corn fail to pop. A competitor, believing that the actual percentage is larger, tests 2,000 kernels and finds that 44 failed to pop. Do these results provide sufficient evidence to support the competitor’s belief? 3. A shoe manufacturer has developed a new running shoe that purportedly enables one to run faster. Eight adults participated in an experiment in which each ran a mile with regular track shoes and then ran a mile the next day with the new shoes. Their running times in seconds are below Runner Track Shoes New Shoes 1 321 318 2 307 299 3 397 401 4 269 260 5 285 285 6 364 363 7 295 289 8 302 296 Estimate the average difference in times between the track shoes and new shoes. Construct a 96% confidence interval. 4. Among 47 golden hamster litters recorded, there were an average of 7.72 baby hamsters, with a standard deviation of 2.5 hamsters per litter. Create a 90% confidence interval. 5. Joseph Lister (for whom Listerine is named) was a British physician who was interested in the role of bacteria in human infections. He suspected that germs were involving in transmitting infection, and so he tried using carbolic acid as an operating room disinfectant. In 75 amputations, he used carbolic acid 40 times. Of the 40 amputations using carbolic acid, 34 patients lived. In the 35 amputations without carbolic acid, 19 lived. Construct a 95% confidence interval comparing the ratios of patients who survived between these groups. 6. In July 2002, the American Journal of Clinical Nutrition reported that 42% of 1546 African-American women studied had a vitamin D deficiency. The data came from a national nutrition study conducted by the Centers of Disease control in Atlanta. Conduct a 92% confidence interval for the fraction of African-American women who have a vitamin D deficiency. 7. In 1975, a random sample of 1484 adult U.S. citizens was surveyed, and 193 strongly agreed with the statement, “People should take care of themselves”. Then, in 1991, a survey of 1013 adult U.S. citizens showed that only 61 strongly agreed with the statement. Does this provide evidence that the proportion of U.S. adults who strongly agree with the given statement has dropped? 8. In a study of how depression may impact one’s ability to survive a heart attack, the researchers reported the ages of the two groups they examined. The mean age of 2397 patients without cardiac disease was 69.8 years (SD=8.7 years), while for the 450 patients with cardiac disease the mean and standard deviation were 74.0 and 7.9 years, respectively. Create a 99% confidence interval for the difference in mean ages of the two groups. 9. To compare 2 dog training programs, an obedience school trained 43 dogs using Program A and 41 dogs using Program B. For Program A, the average number of training hours required was 24.8 with a standard deviation of 3.1 hours. For Program B, the mean was 22.9 hours with a standard deviation of 3.3 hours. Is there a significant difference between the two programs?

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Part One: Name the procedure. On the following pages there are 9 questions and 9 procedures.Match the problem to the procedure. Each procedure is only used once.

1. D A. One proportion z-interval (p)

2. B B. One proportion z-test (p)

3. I C. One sample t-interval (μ)

4. C             D. One sample t-test (μ)

5.E E. Two proportion z-interval (p_1-p_2)

6. A F. Two proportion z-test (p_1-p_2)

7.F G. Two-sample t-interval (μ_1-μ_2)

8. G H. Two-sample t-test (μ_1-μ_2)

9. H I. Matched pairs t-interval (μ_d)...

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