A report included the following information on the heights (in.) for non-Hispanic white females. Sample Sample Std. Error Size Mean Mean 0.09 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 20-39-60 and older") 863 932 64.5 62.7 Interpret the 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. We are 95% confident that the true average height of younger women 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 greater than that of older women by an amount outside the confidence interval. O We cannot draw a conclusion from the given information. (b) Let , denote the population mean height for those aged 20-39 and ₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: M₁ M₂ = 1 and H₂ : ₁ - ₂ > 1. 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. 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 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. 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. 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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Q15 Please answer the fill-ins.

A report included the following information on the heights (in.) for non-Hispanic white females.
Sample Sample Std. Error
Size Mean Mean
0.09
0.11
Age
20-39
60 and older
863
932
(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 20-39-60 and older')
64.5
62.7
Interpret the 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.
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 greater than that of older women by an amount outside the confidence interval.
O We cannot draw a conclusion from the given information.
(b) Let, denote the population mean height for those aged 20-39 and ₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: M₁ - ₂ = 1 and ₂: M₁ - ₂1.
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.
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 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.
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 =
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 0.09 0.11 Age 20-39 60 and older 863 932 (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 20-39-60 and older') 64.5 62.7 Interpret the 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. 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 greater than that of older women by an amount outside the confidence interval. O We cannot draw a conclusion from the given information. (b) Let, denote the population mean height for those aged 20-39 and ₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: M₁ - ₂ = 1 and ₂: M₁ - ₂1. 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. 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 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. 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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