1) The National Health Statistics Reports dated Oct. 22, 2008, included the following information on the heights (in.) for non-Hispanic white females: Age Sample Size Sample Mean Std. Error Mean 20-39 866 64.9 .09 60 and older 934 63.1 .11 a) Calculate and interpret 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. b) Let u1 denote the population mean height for those aged 20-39 and µz denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: µ1 - = 1 and Ha: µ1 – µ2 > 1, and then carry out a test of these hypotheses at significance level .001 using the rejection region approach. c) What is the P-value for the test you carried out in (b)? Based on this P-value, would you reject the null hypothesis at any reasonable significance level? Explain, d) What hynotho

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1) The National Health Statistics Reports dated Oct. 22, 2008, included the following information
on the heights (in.) for non-Hispanic white females:
Age
Sample Size
Sample Mean
Std. Error Mean
20-39
866
64.9
.09
60 and older
934
63.1
.11
a) Calculate and interpret 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.
b) Let u1 denote the population mean height for those aged 20-39 and µz denote the
population mean height for those aged 60 and older. Interpret the hypotheses Ho: µ1 -
= 1 and Ha: µ1 – µ2 > 1, and then carry out a test of these hypotheses at significance
level .001 using the rejection region approach.
c)
What is the P-value for the test you carried out in (b)? Based on this P-value, would you
reject the null hypothesis at any reasonable significance level? Explain,
d) What hynotho
Transcribed Image Text:1) The National Health Statistics Reports dated Oct. 22, 2008, included the following information on the heights (in.) for non-Hispanic white females: Age Sample Size Sample Mean Std. Error Mean 20-39 866 64.9 .09 60 and older 934 63.1 .11 a) Calculate and interpret 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. b) Let u1 denote the population mean height for those aged 20-39 and µz denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: µ1 - = 1 and Ha: µ1 – µ2 > 1, and then carry out a test of these hypotheses at significance level .001 using the rejection region approach. c) What is the P-value for the test you carried out in (b)? Based on this P-value, would you reject the null hypothesis at any reasonable significance level? Explain, d) What hynotho
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