Question

I am interested in whether males and females have the same grade point average. Use the...

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)


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

  1. What is the Standard Error of the mean difference?
  1. Calculate t calculated?
  1. Are the results statistically significant and explain what it means with respect to the Null hypothesis (20points).

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