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?