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In: Statistics and Probability

A random sample of 59 students was selected from the PSU student data base. Each student...

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?

d)   Now use Minitab to verify your results. What is the output?

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