A study assessed the effectiveness of a new drug designed to reduce repetitive b
ID: 3220111 • Letter: A
Question
A study assessed the effectiveness of a new drug designed to reduce repetitive behaviors in children affected with autism. A total of 8 children with autism enroll in the study and the amount of time that each child is engaged in repetitive behavior during three hour observation periods are measured both before treatment and then again after taking the new medication for a period of 1 week. The data are shown below. Was the amount of time engaged in repetitive behavior after taking the medication significantly less than before taking the medication? (fill in table)Explanation / Answer
T+ = Sum of the +ve rank = 32
T- = Sum of the -ve ranks = 4
T = Min (T+ , T-) = 4
To determine the appropriate one-sided critical value we need sample size (n=8) and our one-sided level of significance (=0.05). The critical value of T is 5 and the decision rule is to reject H0 if W < 5. Thus, we reject H0, because 4 < 5. We have statistically significant evidence at =0.05,
X Y Di |Di| Rank of Signed Before After Differences Abs Diff Abs Diff Ranks 85 75 10 10 3 3 70 50 20 20 6 6 40 50 -10 10 3 -3 65 40 25 25 7 7 80 20 60 60 8 8 75 65 10 10 3 3 55 40 15 15 5 5 20 25 -5 5 1 -1Related Questions
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