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. O A. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are Ho: H, < H2 and H: H, >H2 O B. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are Ho: H, 2 and H,: H H2 OC. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are H2 Ho: H1 = H2 and H,: H, sH2. O D. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are Họ: H1 > H2 and H: H1

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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.
O A. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are
Ho: H1 <H2 and H,: H, > H2
O B. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are
ZH> '1:H pue Zz :°H
OC. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are
Họ: H, = H2 and H: H, sH2-
O D. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are
Họ: H1 > H2 and H3: P1 <H2
Transcribed Image Text: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. O A. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are Ho: H1 <H2 and H,: H, > H2 O B. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are ZH> '1:H pue Zz :°H OC. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are Họ: H, = H2 and H: H, sH2- O D. Let u, denote the mean time to run 100 meters for sprinters wearing the new running shoe and let u, denote the mean time to run 100 meters for sprinters wearing the old running shoe. The null and alternative hypotheses are Họ: H1 > H2 and H3: P1 <H2
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