Over the past year, the vice president of human resources at a large medical center conducted a series of three-month workshops aimed at increasing worker motivation and performance. As a check of effectiveness, she selected 7 employees from the personnel files and recorded their most recent annual performance ratings along with the ratings attained prior to attending the workshops. At a 5% level of significance, is there evidence that the workshops increased performance ratings? Take the differences = before - after. Before After 59 72 72 74 89 62 67 74 81 78 88 92 71 81
Over the past year, the vice president of human resources at a large medical center conducted a series of three-month workshops aimed at increasing worker motivation and performance. As a check of effectiveness, she selected 7 employees from the personnel files and recorded their most recent annual performance ratings along with the ratings attained prior to attending the workshops. At a 5% level of significance, is there evidence that the workshops increased performance ratings? Take the differences = before - after.
Before After
59 72
72 74
89 62
67 74
81 78
88 92
71 81
Take the differences = before-after. Order the data smallest to largest, ignoring the negative signs. Rank the data from 1 to 7.
Observation 5 had the values Before = 81 and After = 78. What is the difference before - after of these values?
Answer=3
What rank will observation 5 receive? Answer=2
Add up all the ranks that have a negative difference, T_. What is the value of T_? Answer=19
Add up all the ranks that have a positive difference, T+. What is the value of T+? Answer=9
What is the test statistic, T? The minimum(T_,T+)? Answer=9
From the Table of Critical Values for the Wilcoxon Matched Pairs Signed Rank Test, what is the critical value for the test? Answer=???????????
What can be concluded for the study?
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