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10. A sample of five third graders took a reading test. They then participated in a reading improvement program and took the test again to determine whether their reading ability had improved. Following are the test scores for each of the students both before and after the program. Can you conclude that the mean reading score increased after the program? 1 2 3 4 5 After 67 68 78 75 84 Before 59 63 31 74 73 a. Let ggdenote the population mean difference After Before. State the appropriate null and alternate hypotheses about pig. b. Compute the differences After Before. c. Compute the value of the test statistic. d. Compute the P-value. e. Do you reject H9 at the a = 0.05 level? f. State a conclusion