AP Statistics student claimed that boys have a higher vertical leap than girls.

Question

AP Statistics student claimed that boys have a higher vertical leap than girls. He randomly picked 25 students (10 boys and 15 girls to test the claim and measured the vertical leap for each student. Which hypothesis test would be used to check the student's claim and why? Another AP Statistic student claimed that caffeine increased the jumping ability of students. She randomly picked 25 students to test the claim. Each student's vertical leap was measured before and after drinking a Starbucks coffee. Which hypothesis test would be used to check the student's claim and why? Suppose a basketball player who could dunk the ball was one of the subjects in each of the experiments described in parts a and c. In which case might the data from this subject invalidate the use of the chosen hypothesis test and why?

Explanation / Answer

a) We need to use the t-test for difference of means to checkthis claim. Becuse the two samples are an SRS samples and thesamples drawn are independent and may be approximately normaldepends up on the data collected. c) Since the data were collected for each student's vertical leapwas measured before and after drinking a starbucks coffee so we mayuse paried t-test for difference of means. Becuase the samples aredependent. e) Since the sample sizes for the two samples are not equal wemay invalidate the use of the chosen hypothesis test and basketplayer may be a different subject.

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