Use the data provided in the following table where X1 and X2 are before and afte

Question

Use the data provided in the following table where X1 and X2 are before and after scores on a standardized test for 20 students. Use 5% level of significance for all tests unless instructed otherwise.

1. Perform a paired samples t test in order to evaluate whether or not the mean value of X1 equals the mean value of X2 in the population. The degrees of freedom for this test equal:

A) 18    B) 19   C) 40 D) 20

2. Perform a paired samples t test in order to evaluate whether or not the mean value of X1 equals the mean value of X2 in the population. The critical t value for this test is:

A) Less than 0.001 B) 0.05 C) 0.32 D) 2.09

3. Perform an independent samples t test in order to evaluate whether the average X1 score of male students equals the average X1 score of female students in the population. The degrees of freedom for this test equal:

A) 38 B) 18 C) 19 D) 20

4. Perform an independent samples t test in order to evaluate whether the average X1 score of male students equals the average X1 score of female students in the population. The observed t value for this test is:

A) 0.038 B) 2.10 C) 0.05 D) 2.24

Student ID X1 10 X2 Gender 12 65 23 30 25 19 70 Male Male Male Male Male Male Male Male Male 21 25 30 73 Male 38 71 56 47 10 12 13 14 15 16 17 18 19 20 85 Female 73 Female 29 Female 45 Female 67 Female 36 Female 82 Female 28 Female 64 Female 62 Female 27 75 45 68 59

Explanation / Answer

1. Perform a paired samples t test in order to evaluate whether or not the mean value of X1 equals the mean value of X2 in the population. The degrees of freedom for this test equal: B) 19

2. Perform a paired samples t test in order to evaluate whether or not the mean value of X1 equals the mean value of X2 in the population. The critical t value for this test is: D) 2.09

3. Perform an independent samples t test in order to evaluate whether the average X1 score of male students equals the average X1 score of female students in the population. The degrees of freedom for this test equal: B)18

4. Perform an independent samples t test in order to evaluate whether the average X1 score of male students equals the average X1 score of female students in the population. The observed t value for this test is: D) 2.24

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