Question

Compute: The mean of the difference scores, the sum of squares, the estimated population variance of difference scores, the variance of the distribution of means of difference scores and the standard deviation of the distribution of means of difference scores

Problem 1:

A teacher at the University of Alabama wants to know if going to tutoring is helping his math students. He predicts that going to tutoring will increase student’s test scores. To test this hypothesis (α = .05), he has 8 students take a math exam and records their scores (Time 1). Then, he has the same students attend 5 hours of tutoring before taking the math exam a second time (Time 2). Carry out a hypothesis test to see if attending tutoring significant increased students test scores.

Student	Time 1	Time 2
1	83	85
2	74	80
3	82	90
4	65	73
5	77	84
6	76	85
7	91	94
8	86	93

Problem 2:

Brett wants to know if living in the south changes how much people like country music. To test this hypothesis (α = .01), he has 6 students rate how much they like country music on a scale from 0-10 (0 = do not like, 10 = like a lot) at the beginning of their freshman year (Time 1) and then again at the end of their senior year (Time 2). Carry out a hypothesis test to see if living in the south changes student’s opinions of country music.

Student	Time 1	Time 2
1	7	7
2	5	4
3	6	8
4	3	5
5	6	7
6	4	3

Answer 1

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