Question

I need help with the following question:A random sample of 59 students was selected from the PSU student

data base. Each student was asked their Sex and Height (in inches). Below are the summary results:

Sex N Mean SD

Female 42 66.10 2.58

Male 17 70.12 3.66

a) Using the summary information, estimate with 99% confidence the difference in heights between the sexes and interpret these results. What are the exact degrees of freedom used in the calculation of the t-statistic?

b) Is there enough evidence at a 1% level of significance to conclude that males, on average, are taller than females? Include hypotheses, p-value, decision, and conclusion.

c) What assumptions would need to be satisfied in order to safely use and interpret the results?

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