In: Statistics and Probability
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?