In: Statistics and Probability
1.) Now use Minitab and attach output for the problem below?
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 |
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?
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.
What assumptions would need to be satisfied in order to safely use
and interpret the results?