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.

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 64.1 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.
O A. Ho p=64.1 in versus H₁ µ‡64.1 in.
OC. Ho μ= 63.7 in versus H₁ µ<63.7 in.
O E. Hop=63.7 in versus H₁ µ>63.7 in.
OB. Ho: μ-63.7 in, versus H₁: µ#63.7 in.
OD. H₂ μ=64.1 in, versus H₁: µ< 64.1 in.
OF. Hou 64.1 in. versus H₁: p> 64.1 in.
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 64.1 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. O A. Ho p=64.1 in versus H₁ µ‡64.1 in. OC. Ho μ= 63.7 in versus H₁ µ<63.7 in. O E. Hop=63.7 in versus H₁ µ>63.7 in. OB. Ho: μ-63.7 in, versus H₁: µ#63.7 in. OD. H₂ μ=64.1 in, versus H₁: µ< 64.1 in. OF. Hou 64.1 in. versus H₁: p> 64.1 in.
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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 64.1 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. Ho: p=64.1 in. versus H₁: µ#64.1 in.
OC. H₂: μ = 63.7 in. versus H₁: µ<63.7 in.
E. H₂: µ= 63.7 in versus H₁: µ>63.7 in.
(b) Suppose the P-value for this test is 0.11. Explain what this value represents.
OB. Ho: μ= 63.7 in. versus H₁ µ#63.7 in.
O D. Ho: μ=64.1 in. versus H₁ µ<64.1 in.
OF. Ho: μ=64.1 in. versus H₁: µ> 64.1 in.
OA. There is a 0.11 probability of obtaining a sample mean height of exactly 64.1 inches from a population whose mean height is 63.7 inches.
OB. There is a 0.11 probability of obtaining a sample mean height of 64.1 inches or taller from a population whose mean height is 63.7 inches.
O C. There is a 0.11 probability of obtaining a sample mean height of 64.1 inches or shorter from a population whose mean height is 63.7 inches.
OD. 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 64.1 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 64.1 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. Ho: p=64.1 in. versus H₁: µ#64.1 in. OC. H₂: μ = 63.7 in. versus H₁: µ<63.7 in. E. H₂: µ= 63.7 in versus H₁: µ>63.7 in. (b) Suppose the P-value for this test is 0.11. Explain what this value represents. OB. Ho: μ= 63.7 in. versus H₁ µ#63.7 in. O D. Ho: μ=64.1 in. versus H₁ µ<64.1 in. OF. Ho: μ=64.1 in. versus H₁: µ> 64.1 in. OA. There is a 0.11 probability of obtaining a sample mean height of exactly 64.1 inches from a population whose mean height is 63.7 inches. OB. There is a 0.11 probability of obtaining a sample mean height of 64.1 inches or taller from a population whose mean height is 63.7 inches. O C. There is a 0.11 probability of obtaining a sample mean height of 64.1 inches or shorter from a population whose mean height is 63.7 inches. OD. 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 64.1 inches.
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