1. Scholarshipsstats.com performed a study in 2017 that found the average heights of all Division 1 NCAA basketball players and found that the mean height was 77 inches (6 foot 5 inches). Researchers want to know if the players chosen in the first round of the NBA draft have an average height that is different.

The following list shows the heights of basketball players in the first round of the 2018 NBA draft.

NBA Draft Heights (22 players):

75, 83, 77, 77, 80, 75, 76, 71, 78, 81, 79, 75, 81, 76, 71, 76, 74, 74, 80, 82, 75, 72

A: Fill in the appropriate alternative hypothesis. (Use <, >, or not equal to).

B: Calculate the t-statistic. Round to 2 decimal places.

C: Calculate the p-value. Round to 4 decimal places.

D: State the test decision ata level of significance of 0.05 forH

E: Fill in the blank. EvidenceBlank 5(favors or does not favor) that the mean height for players chosen in the first round of the NBA draft is different than the mean height for college basketball players.

F: Would running a different hypothesis test (switching from two-tailed to one tailed or vice versa) have altered our test decision? Answer yes or no.

2. For each situation described, identify whether the samples are independent or dependent.

A. A statistics instructor wishes to compare the means from final exam scores from two of her classes

B. A nutritionist wishes to compare the mean weight loss from a random sample of dieters who weigh themselves before the diet and after the diet

C. A statistics instructor wishes to compare the means from pre-test and post-test scores from each student in one of her classes

D. A nutritionist wishes to compare the mean weight loss from random samples of dieters who did different types of diets:sample A did the water diet and sample B did the juice diet