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 64.6 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.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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 64.6 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.
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 64.6 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.
O A. Ho H=64.6 in versus H,
μ> 64.6 in.
μ#63.7 in.
O C. Ho H=63.7 in. versus H₁
O E. Ho H=64.6 in versus H₁
μ#64.6 in.
(b) Suppose the P-value for this test is 0.11. Explain what this value represents.
OA. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or taller from a population whose mean height is 63.7 inches.
O B. There is a 0.11 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.6 inches.
OC. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or shorter from a population whose mean height is 63.7 inches.
O D. There is a 0.11 probability of obtaining a sample mean height of exactly 64.6 inches from a population whose mean height is 63.7 inches.
(c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance
Oi
99+
1
OB.
Hop=64.6 in versus H₁ μ<64.6 in
OD. Ho μ-63.7 in. versus H₁ μ> 63.7 in.
OF. Hou 63.7 in. versus H₁ μ<63.7 in.
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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 64.6 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. O A. Ho H=64.6 in versus H, μ> 64.6 in. μ#63.7 in. O C. Ho H=63.7 in. versus H₁ O E. Ho H=64.6 in versus H₁ μ#64.6 in. (b) Suppose the P-value for this test is 0.11. Explain what this value represents. OA. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or taller from a population whose mean height is 63.7 inches. O B. There is a 0.11 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.6 inches. OC. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or shorter from a population whose mean height is 63.7 inches. O D. There is a 0.11 probability of obtaining a sample mean height of exactly 64.6 inches from a population whose mean height is 63.7 inches. (c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance Oi 99+ 1 OB. Hop=64.6 in versus H₁ μ<64.6 in OD. Ho μ-63.7 in. versus H₁ μ> 63.7 in. OF. Hou 63.7 in. versus H₁ μ<63.7 in. Rain off and on W prt sc Next 6:53 PM 11/29/2022 19
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 6 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.
(b) Suppose the P-value for this test is 0.11. Explain what this value represents.
OA. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or taller from a population whose mean height is 63.7 inches.
OB. There is a 0.11 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.6 inches.
OC. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or shorter from a population whose mean height is 63.7 inches.
O D. There is a 0.11 probability of obtaining a sample mean height of exactly 64.6 inches from a population whose mean height is 63.7 inches.
(c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance.
O A. 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.
OB. 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.
OC. 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.
OD. 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.
O
Bi
(...)
99+
#
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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 6 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. (b) Suppose the P-value for this test is 0.11. Explain what this value represents. OA. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or taller from a population whose mean height is 63.7 inches. OB. There is a 0.11 probability of obtaining a sample mean height of 63.7 inches or taller from a population whose mean height is 64.6 inches. OC. There is a 0.11 probability of obtaining a sample mean height of 64.6 inches or shorter from a population whose mean height is 63.7 inches. O D. There is a 0.11 probability of obtaining a sample mean height of exactly 64.6 inches from a population whose mean height is 63.7 inches. (c) Write a conclusion for this hypothesis test assuming an a= 0.05 level of significance. O A. 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. OB. 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. OC. 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. OD. 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. O Bi (...) 99+ # Rain off and on Next 6:53 PM 11/29/2022
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