Question

Recent publications have hinted at the growing importance of sleep in the elderly in order to maintain good health. Suppose a researcher is interested in the hypothesis that the difference in average hours of sleep differs significantly between men aged 35-45 and men aged 45+. Assume the following table summarizes the descriptive statistics for SRSs from each age group. Carry out the appropriate statistical test to answer the researcher’s hypothesis regarding the difference in average hours of sleep between the two groups under investigation. Assume that all conditions for the testing are met. Use an alpha level of 0.05. Calculate a pooled variance under the equal variance assumption. Write out your null and alternative hypotheses and interpret your pvalue.

Age group	Average hours of sleep	Standard deviation	Sample Size
35-45	7.4	1.02	24
45+	5.2	0.87	32

		Ho: µ1=µ2 Ha: µ1≠µ2 T statistic=8.697 Pvalue=7.53*10-12 Reject the Ho that there is no significant difference in average hours of sleep between the two age groups being compared.
		Ho: µ1=µ2 Ha: µ1≠µ2 T statistic=10.97 Pvalue=15.53*10-12 Accept the Ho that there is significant difference in average hours of sleep between the two age groups being compared.
		Ho: µ1=µ2 Ha: µ1≠µ2 T statistic=23.697 Pvalue=127.53*10-12 Accept the Ho that there is no significant difference in average hours of sleep between the two age groups being compared.

2.5 points   

Answer 1

our df are 54 and t value is 8.697 using this we see in t-table for p-value,