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A company which designs sports shoes has made an improvement to their popular running shoe. They hope that athletes wearing the new running shoe will be able to run faster over short distances. They will use a paired sample to determine whether the mean time to run 100 meters for sprinters wearing the new running shoe is less than the mean time to run the 100 meters for sprinters wearing the old running shoe. Determine the null and alternative hypotheses for the proposed hypothesis test. inning shoe The null and

A company which designs sports shoes has made an improvement to their popular running shoe. They hope that athletes wearing the new running shoe will be able to run faster over short distances. They will use a paired sample to determine whether the mean time to run 100 meters for sprinters wearing the new running shoe is less than the mean time to run the 100 meters for sprinters wearing the old running shoe. Determine the null and alternative hypotheses for the proposed hypothesis test. inning shoe The null and

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A company that designs sports shoes has made an improvement to their popular running shoe. They hope that athletes wearing the new running shoe will be able to run faster over short distances. They will use a paired sample to determine whether the mean time to run 100 meters for sprinters wearing the new running shoe is less than the mean time to run 100 meters for sprinters wearing the old running shoe. Determine the null and alternative hypotheses for the proposed hypothesis test. **Options:** - **A.** Let \( \mu_1 \) denote the mean time to run 100 meters for sprinters wearing the new running shoe and let \( \mu_2 \) denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are \( H_0: \mu_1 = \mu_2 \) and \( H_a: \mu_1 \leq \mu_2 \). - **B.** Let \( \mu_1 \) denote the mean time to run 100 meters for sprinters wearing the new running shoe and let \( \mu_2 \) denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are \( H_0: \mu_1 \geq \mu_2 \) and \( H_a: \mu_1 < \mu_2 \). - **C.** Let \( \mu_1 \) denote the mean time to run 100 meters for sprinters wearing the new running shoe and let \( \mu_2 \) denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are \( H_0: \mu_1 < \mu_2 \) and \( H_a: \mu_1 > \mu_2 \). - **D.** Let \( \mu_1 \) denote the mean time to run 100 meters for sprinters wearing the new running shoe and let \( \mu_2 \) denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are \( H_0: \mu_1 \geq \mu_2 \) and \( H_a: \mu_1 < \mu_2 \).
Transcribed Image Text:A company that designs sports shoes has made an improvement to their popular running shoe. They hope that athletes wearing the new running shoe will be able to run faster over short distances. They will use a paired sample to determine whether the mean time to run 100 meters for sprinters wearing the new running shoe is less than the mean time to run 100 meters for sprinters wearing the old running shoe. Determine the null and alternative hypotheses for the proposed hypothesis test. **Options:** - **A.** Let \( \mu_1 \) denote the mean time to run 100 meters for sprinters wearing the new running shoe and let \( \mu_2 \) denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are \( H_0: \mu_1 = \mu_2 \) and \( H_a: \mu_1 \leq \mu_2 \). - **B.** Let \( \mu_1 \) denote the mean time to run 100 meters for sprinters wearing the new running shoe and let \( \mu_2 \) denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are \( H_0: \mu_1 \geq \mu_2 \) and \( H_a: \mu_1 < \mu_2 \). - **C.** Let \( \mu_1 \) denote the mean time to run 100 meters for sprinters wearing the new running shoe and let \( \mu_2 \) denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are \( H_0: \mu_1 < \mu_2 \) and \( H_a: \mu_1 > \mu_2 \). - **D.** Let \( \mu_1 \) denote the mean time to run 100 meters for sprinters wearing the new running shoe and let \( \mu_2 \) denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are \( H_0: \mu_1 \geq \mu_2 \) and \( H_a: \mu_1 < \mu_2 \).
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