Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.4 inches. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. (b) Suppose the P-value for this test is 0.19. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an a = 0.10 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. A. Ho: u= 64.4 in. versus H,: u#64.4 in. B. Ho: u=64.4 in. versus H,: u<64.4 in. C. Ho: = 63.7 in. versus H,: u # 63.7 in. D. Ho: = 64.4 in. versus H,: j > 64.4 in. E. Ho: = 63.7 in. versus H,: u< 63.7 in. F. Ho: u= 63.7 in. versus H;: u> 63.7 in. (b) Suppose the P-value for this test is 0.19. Explain what this value represents. A. There is a 0.19 probability of obtaining a sample mean height of exactly 64.4 inches from a population whose mean height is 63.7 inches. B. There is a 0.19 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.4 inches. C. There is a 0.19 probability of obtaining a sample mean height of 64.4 inches or taller from a population whose mean height is 63.7 inches. D. There is a 0.19 probability of obtaining a sample mean height of 64.4 inches or shorter from a population whose mean height is 63.7 inches.

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Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.4 inches.
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.
(b) Suppose the P-value for this test is 0.19. Explain what this value represents.
(c) Write a conclusion for this hypothesis test assuming an a = 0.10 level of significance.
.....
(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.
A. Ho: µ= 64.4 in. versus H,: µ ± 64.4 in.
B. Ho: µ = 64.4 in. versus H,: µ< 64.4 in.
C. Ho: µ= 63.7 in. versus H,: µ # 63.7 in.
D. Ho: µ= 64.4 in. versus H,: p > 64.4 in.
E. Ho: µ = 63.7 in. versus H,:µ<63.7 in.
F. Ho: H= 63.7 in. versus H,: µ > 63.7 in.
(b) Suppose the P-value for this test is 0.19. Explain what this value represents.
A. There is a 0.19 probability of obtaining a sample mean height of exactly 64.4 inches from a population whose mean height is 63.7 inches.
B. There is a 0.19 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.4 inches.
C. There is a 0.19 probability of obtaining a sample mean height of 64.4 inches or taller from a population whose mean height is 63.7 inches.
D. There is a 0.19 probability of obtaining a sample mean height of 64.4 inches or shorter from a population whose mean height is 63.7 inches.
Transcribed Image Text:Several years ago, the mean height of women 20 years of age or older was 63.7 inches. Suppose that a random sample of 45 women who are 20 years of age or older today results in a mean height of 64.4 inches. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. (b) Suppose the P-value for this test is 0.19. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an a = 0.10 level of significance. ..... (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. A. Ho: µ= 64.4 in. versus H,: µ ± 64.4 in. B. Ho: µ = 64.4 in. versus H,: µ< 64.4 in. C. Ho: µ= 63.7 in. versus H,: µ # 63.7 in. D. Ho: µ= 64.4 in. versus H,: p > 64.4 in. E. Ho: µ = 63.7 in. versus H,:µ<63.7 in. F. Ho: H= 63.7 in. versus H,: µ > 63.7 in. (b) Suppose the P-value for this test is 0.19. Explain what this value represents. A. There is a 0.19 probability of obtaining a sample mean height of exactly 64.4 inches from a population whose mean height is 63.7 inches. B. There is a 0.19 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.4 inches. C. There is a 0.19 probability of obtaining a sample mean height of 64.4 inches or taller from a population whose mean height is 63.7 inches. D. There is a 0.19 probability of obtaining a sample mean height of 64.4 inches or shorter from a population whose mean height is 63.7 inches.
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