Data needed for the question: Before study session After study session 95 90 89

Question

Data needed for the question:

Before study session After study session 95 90 89 85 76 73 92 90 91 90 53 53 67 68 88 90 75 78 85 89 90 95 85 83 87 83 85 83 85 82 68 65 81 79 84 83 71 60 46 47 75 77 80 83
exam nts) To determine if a study session has an impact on student same scores, 22 randomly selected students took an exam. Then the again students attended a study session. The 22 students took the exam after the study session. Assume the scores are distributed normally You want to formulate and test a hypothesis that the students earned higher scores after the study session, at a significance level of a 0.05. Use the data listed on wamap org a. List your hypotheses. Ha: b. Determine the test statistic. c. Determine the p-value for this sample. d. What is your conclusion specifically for this situation?

Explanation / Answer

null hypothesis: d=0

alternate hypothesis:d>0 where d is mean differnece b/w pre and post analysis

b)

b) test stat =-1.3081

c) p value =0.6022

d)we can not reject null hypothesis; as p[ vlaue is greater then 0.05 level

Before study session After study session difference(d) 95 90 -5 89 85 -4 76 73 -3 92 90 -2 91 90 -1 53 53 0 67 68 1 88 90 2 75 78 3 85 89 4 90 95 5 85 83 -2 87 83 -4 85 83 -2 85 82 -3 68 65 -3 81 79 -2 84 83 -1 71 60 -11 46 47 1 75 77 2 80 83 3 mean -1.000 std deviaition 3.5857 std error= std dev/(n)^(1/2) 0.7645 t stat= (d-0)/std error -1.3081 p value = 0.1022

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