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’shypothesis 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

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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’shypothesis 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
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