A report included the following information on the heights (in.) for non-Hispanic white females. Sample Sample Std. Error Size Mean Mean 65.6 0.09 64.0 0.11 Age 20-39 60 and older (a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use #420-39 - H60 and older 865 939 Interpret the interval. O We are 95% confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval. O We cannot draw a conclusion from the given information. O We are 95% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval. O We are 95% confident that the true average height of younger women is less than that of older women by an amount within the confidence interval. (b) Let u, denote the population mean height for those aged 20-39 and 4₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: ₁₂ = 1 and Ha: ₁ - ₂ > 1. O The null hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older womer is 1 inch higher than for younger women. O The null hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more than inch higher than for younger women. O The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women.. O The null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is 1 inch higher than for older women. Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value=

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A report included the following information on the heights (in.) for non-Hispanic white females.
Sample Sample Std. Error
Size Mean Mean
65.6
64.0
Age
20-39
60 and older
865
939
(a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use μ20-39
0.09
0.11
Interpret the interval.
We are 95% confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval.
O We cannot draw a conclusion from the given information.
O We are 95% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval.
O We are 95% confident that the true average height of younger women is less than that of older women by an amount within the confidence interval.
(b) Let μ₁ denote the population mean height for those aged 20-39 and μ₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: M₁ M₂ = 1 and H₂: M₁ - M₂ > 1.
O The null hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women
is 1 inch higher than for younger women.
M60 and older.)
O The null hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more
than 1 inch higher than for younger women.
O The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women more
than 1 inch higher than for older women.
Z =
The null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger
women is 1 inch higher than for older women.
P-value =
Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal
places.)
Transcribed Image Text:A report included the following information on the heights (in.) for non-Hispanic white females. Sample Sample Std. Error Size Mean Mean 65.6 64.0 Age 20-39 60 and older 865 939 (a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use μ20-39 0.09 0.11 Interpret the interval. We are 95% confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval. O We cannot draw a conclusion from the given information. O We are 95% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval. O We are 95% confident that the true average height of younger women is less than that of older women by an amount within the confidence interval. (b) Let μ₁ denote the population mean height for those aged 20-39 and μ₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: M₁ M₂ = 1 and H₂: M₁ - M₂ > 1. O The null hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is 1 inch higher than for younger women. M60 and older.) O The null hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. O The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women more than 1 inch higher than for older women. Z = The null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is 1 inch higher than for older women. P-value = Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
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