### Hypothesis Testing on Women's Height**Scenario:**Several years ago, the mean height of women aged 20 years or older was 63.7 inches. A recent random sample of 45 women aged 20 or older shows a mean height of 64.1 inches. ### Questions and Explanation:**(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.**Choose from the following options:- **A.** \( H_0: \mu = 64.1 \text{ in.} \) versus \( H_1: \mu \neq 64.1 \text{ in.} \)- **B.** \( H_0: \mu = 63.7 \text{ in.} \) versus \( H_1: \mu \neq 63.7 \text{ in.} \)- **C.** \( H_0: \mu = 63.7 \text{ in.} \) versus \( H_1: \mu < 63.7 \text{ in.} \)- **D.** \( H_0: \mu = 64.1 \text{ in.} \) versus \( H_1: \mu < 64.1 \text{ in.} \)- **E.** \( H_0: \mu = 63.7 \text{ in.} \) versus \( H_1: \mu > 63.7 \text{ in.} \)- **F.** \( H_0: \mu = 64.1 \text{ in.} \) versus \( H_1: \mu > 64.1 \text{ in.} \)**(b) Suppose the P-value for this test is 0.11. Explain what this value represents.**The P-value of 0.11 indicates that, assuming the null hypothesis \( H_0 \) is true, there is an 11% probability of obtaining a sample mean of 64.1 inches or more extreme by random chance.**(c) Write a conclusion for this hypothesis test assuming an \( \alpha = 0.05 \) level of significance.**Since the P-value of 0.11 is greater than the significance level \( \alpha \) of 0.05, we do not reject the

Population mean sample size n= 45sample mean = 64.1

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 64.1 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 0.11. 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. OA. H=64.1 in versus H, µ/64.1 in. OC. Ho H=63.7 in versus H, p<63.7 in. OE. Ho p=63.7 in versus H, p> 63.7 in. CITT OB. Ho u 63.7 in versus H, #63.7 in OD. Ho H=64.1 in versus H, p<64.1 in. OF. Hou 64.1 in versus H, µ> 64.1 in.

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 64.1 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 0.11. 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. OA. H=64.1 in versus H, µ/64.1 in. OC. Ho H=63.7 in versus H, p<63.7 in. OE. Ho p=63.7 in versus H, p> 63.7 in. CITT OB. Ho u 63.7 in versus H, #63.7 in OD. Ho H=64.1 in versus H, p<64.1 in. OF. Hou 64.1 in versus H, µ> 64.1 in.

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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