Question

I am interested in whether males and females have the same grade point average. Use the table to perform a difference of means test and tell me the result of the test. (Remember you have to calculate the variance for each variable using the equation with n-1 in the denominator)

               

Obs	Males	Females
1	3.84	2.93
2	2.5	2.98
3	3.25	1.48
4	2.77	1.77
5	3.69	2.76
6	2.02	1.89
7	2.05	3.29
8	3.01	1.19
sums
mean
variance

1. State the Null and Alternative Hypotheses. (5 points)

2. Establish your decision criteria and determine t critical (df = N1+N2-2).

3. What is the Standard Error of the mean difference?

4. Calculate t calculated?

5. Are the results statistically significant and explain what it means with respect to the Null hypothesis (20points).

Answer 1