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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 64.9 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 0.06. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. O A. Ho: H =63.7 in. versus H1: µ>63.7 in. O C. Ho: u = 64.9 in. versus H1: H>64.9 in. C E. Ho: H = 64.9 in. versus H1: µ<64.9 in. C (b) Suppose the P-value for this test is 0.06. Explain what this value represents. O A. There is a 0.06 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean B. There is a 0.06 probability of obtaining a sample mean height of 64.9 inches or taller from a population whose mean C. There is a 0.06 probability of obtaining a sample mean height of exactly 64.9 inches from a population whose mean h D. There is a 0.06 probability of obtaining a sample mean height of 64.9 inches or shorter from a population whose mea (c) Write a conclusion for this hypothesis test assuming an a = 0.05 level of significance. A. Reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of aç B. Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age o C. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of D. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 year

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 64.9 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 0.06. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. O A. Ho: H =63.7 in. versus H1: µ>63.7 in. O C. Ho: u = 64.9 in. versus H1: H>64.9 in. C E. Ho: H = 64.9 in. versus H1: µ<64.9 in. C (b) Suppose the P-value for this test is 0.06. Explain what this value represents. O A. There is a 0.06 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean B. There is a 0.06 probability of obtaining a sample mean height of 64.9 inches or taller from a population whose mean C. There is a 0.06 probability of obtaining a sample mean height of exactly 64.9 inches from a population whose mean h D. There is a 0.06 probability of obtaining a sample mean height of 64.9 inches or shorter from a population whose mea (c) Write a conclusion for this hypothesis test assuming an a = 0.05 level of significance. A. Reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of aç B. Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age o C. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of D. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 year

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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**Hypothesis Testing Example: Women's Height** **Context:** Several years ago, the mean height of women aged 20 years or older was 63.7 inches. A recent random sample of 45 women who are 20 years or older today results in a mean height of 64.9 inches. --- **Question:** 1. **State the appropriate null and alternative hypotheses to assess whether women are taller today.** **Options:** - **A.** H₀: μ = 63.7 in. versus H₁: μ > 63.7 in. - **C.** H₀: μ = 64.9 in. versus H₁: μ ≠ 64.9 in. - **E.** H₀: μ = 64.9 in. versus H₁: μ < 64.9 in. - **Correct Answer: C** 2. **Suppose the P-value for this test is 0.06. Explain what this value represents.** **Options:** - **A.** There is a 0.06 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean is 63.7 inches. - **B.** There is a 0.06 probability of obtaining a sample mean height of 64.9 inches or taller from a population whose mean is 63.7 inches. - **C.** There is a 0.06 probability of obtaining a sample mean height of exactly 64.9 inches from a population whose mean is 64.9 inches. - **D.** There is a 0.06 probability of obtaining a sample mean height of 64.9 inches or shorter from a population whose mean is 64.9 inches. - **Correct Answer: C** 3. **Write a conclusion for this hypothesis test assuming an α = 0.05 level of significance.** **Options:** - **A.** Reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of age or older today is different from 63.7 inches. - **B.** Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older today is different from 63.7 inches.
Transcribed Image Text:**Hypothesis Testing Example: Women's Height** **Context:** Several years ago, the mean height of women aged 20 years or older was 63.7 inches. A recent random sample of 45 women who are 20 years or older today results in a mean height of 64.9 inches. --- **Question:** 1. **State the appropriate null and alternative hypotheses to assess whether women are taller today.** **Options:** - **A.** H₀: μ = 63.7 in. versus H₁: μ > 63.7 in. - **C.** H₀: μ = 64.9 in. versus H₁: μ ≠ 64.9 in. - **E.** H₀: μ = 64.9 in. versus H₁: μ < 64.9 in. - **Correct Answer: C** 2. **Suppose the P-value for this test is 0.06. Explain what this value represents.** **Options:** - **A.** There is a 0.06 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean is 63.7 inches. - **B.** There is a 0.06 probability of obtaining a sample mean height of 64.9 inches or taller from a population whose mean is 63.7 inches. - **C.** There is a 0.06 probability of obtaining a sample mean height of exactly 64.9 inches from a population whose mean is 64.9 inches. - **D.** There is a 0.06 probability of obtaining a sample mean height of 64.9 inches or shorter from a population whose mean is 64.9 inches. - **Correct Answer: C** 3. **Write a conclusion for this hypothesis test assuming an α = 0.05 level of significance.** **Options:** - **A.** Reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of age or older today is different from 63.7 inches. - **B.** Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older today is different from 63.7 inches.
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