In: Statistics and Probability
The
psychology department
of
Bahçeşehir University
conducted an investigation to determine how long it
takes for a woman or man to get married after their graduation in
Istanbul
. Two independent random samples
were selected and the following summary information concerning times to completion o
f
university
were
computed.
Men
Women
Sample Size
100
85
Sample Mean
8.8
8.4
Population
Variance
1
.96
2.25
a)
State the appropriate null and alternative hypotheses to determine whether there is a
significant
difference
in time to completion of medical school between women and men.
b)
Perform the appropriate test of hypothesis to determine whether there is a significa
nt difference in time
to completion of medical school between women and men.
Use α
= 0.05.
c)
Find the p
-
value associated with the test in the second question and explain how to use it for testing the
hypothesis in the first question.
Not: You have to draw
the table to see which area that you have to calculate