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?

d)   Now use Minitab to verify your results. Copy/paste your results or attach output to assignment.

Answer 1

Answer:

A)

B)

C)

1. The two populations have the same variance. This assumption is called the assumption of homogeneity of variance.
2. The populations are normally distributed.
3. Each value is sampled independently from each other value.

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