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 0.04. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an α=0.05 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. A. H0: μ=63.7 in. versus H1: μ<63.7 in. B. H0: μ=63.7 in. versus H1: μ>63.7 in. C. H0: μ=63.7 in. versus H1: μ≠63.7 in. D. H0: μ=64.9 in. versus H1: μ≠64.9 in. E. H0: μ=64.9 in. versus H1: μ<64.9 in. F. H0: μ=64.9 in. versus H1: μ>64.9 in. (b) Suppose the P-value for this test is 0.04. Explain what this value represents. A. There is a 0.04 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.9 inches. B. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or taller from a population whose mean height is 63.7 inches. C. There is a 0.04 probability of obtaining a sample mean height of exactly 64.9 inches from a population whose mean height is 63.7 inches. D. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or shorter from a population whose mean height is 63.7 inches. (c) Write a conclusion for this hypothesis test assuming an α=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 age or older is greater today. B. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today. C. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today. D. Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater tod

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 0.04. Explain what this value represents. (c) Write a conclusion for this hypothesis test assuming an α=0.05 level of significance. (a) State the appropriate null and alternative hypotheses to assess whether women are taller today. A. H0: μ=63.7 in. versus H1: μ<63.7 in. B. H0: μ=63.7 in. versus H1: μ>63.7 in. C. H0: μ=63.7 in. versus H1: μ≠63.7 in. D. H0: μ=64.9 in. versus H1: μ≠64.9 in. E. H0: μ=64.9 in. versus H1: μ<64.9 in. F. H0: μ=64.9 in. versus H1: μ>64.9 in. (b) Suppose the P-value for this test is 0.04. Explain what this value represents. A. There is a 0.04 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.9 inches. B. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or taller from a population whose mean height is 63.7 inches. C. There is a 0.04 probability of obtaining a sample mean height of exactly 64.9 inches from a population whose mean height is 63.7 inches. D. There is a 0.04 probability of obtaining a sample mean height of 64.9 inches or shorter from a population whose mean height is 63.7 inches. (c) Write a conclusion for this hypothesis test assuming an α=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 age or older is greater today. B. Do not reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today. C. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today. D. Reject the null hypothesis. There is sufficient evidence to conclude that the mean height of women 20 years of age or older is greater tod

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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Question

Several years ago, the mean height of women 20 years of age or older was

63.7

inches. Suppose that a random sample of

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

0.04.

Explain what this value represents.

α=0.05

level of significance.

(a) State the appropriate null and alternative hypotheses to assess whether women are taller today.

H0:

μ=63.7

in. versus

H1:

μ<63.7

in.

H0:

μ=63.7

in. versus

H1:

μ>63.7

in.

H0:

μ=63.7

in. versus

H1:

μ≠63.7

in.

H0:

μ=64.9

in. versus

H1:

μ≠64.9

in.

H0:

μ=64.9

in. versus

H1:

μ<64.9

in.

H0:

μ=64.9

in. versus

H1:

μ>64.9

in.

(b) Suppose the P-value for this test is

0.04.

Explain what this value represents.

There is a

0.04

probability of obtaining a sample mean height of

63.7

inches or taller from a population whose mean height is

64.9

inches.

There is a

0.04

probability of obtaining a sample mean height of

64.9

inches or taller from a population whose mean height is

63.7

inches.

There is a

0.04

probability of obtaining a sample mean height of exactly

64.9

inches from a population whose mean height is

63.7

inches.

There is a

0.04

probability of obtaining a sample mean height of

64.9

inches or shorter from a population whose mean height is

63.7

inches.

α=0.05

level of significance.

Reject

the null hypothesis. There

is not

sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.

Do not reject

the null hypothesis. There

sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.

Do not reject

the null hypothesis. There

is not

sufficient evidence to conclude that the mean height of women 20 years of age or older is greater today.

Reject

the null hypothesis. There

sufficient evidence to conclude that the mean height of women 20 years of age or older is greater toda

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