3
AssignmentMultiple Choice

Testing a Claim about a Mean Difference

Question 3 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)

Do the data provide convincing evidence at the α = 0.05 significance level that the new training program will change athletes’ resting heart rate for subjects like the ones in the experiment?What is the appropriate name for the inference procedure?

Answer
A
one-sample z-test for μdiff
B
two-sample z-test for pold – pnew
C
one-sample t-test for μdiff
D
two-sample t-test for μold – μnew

Explanation

The same athletes’ resting heart rates are compared before and after the training program, so the observations are paired. Calculate each athlete’s change in heart rate and test whether the mean change is zero. Because the population standard deviation of those differences is not given, the appropriate procedure is a one-sample t-test for μdiff, choice C.

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