Problem on wilcoxon matched pairs signed rank test


Assignment:

Radio advertisements have been stressing the virtues of an audiotape program to help children learn to read. To test whether this tape program can cause a quick improvement in reading ability, 10 children were given a nationally recognized reading test that measures reading ability. The same 10 children were then given the tapes to listen to for 4 hours spaced over a 2-day period. The children then were tested again. The test scores were as follows:

Child Before After
1 60 69
2 40 38
3 78 77
4 53 50
5 67 74
6 88 96
7 77 80
8 60 70
9 64 65
10 75 75

If higher scores are better, use the Wilcoxon matched pairs signed rank test to test whether this tape program produces quick improvement in reading ability. Use an α = 0.025.

Provide complete and step by step solution for the question and show calculations and use formulas.

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