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. What rank will observation 5 receive?  Add up all the ranks that have a negative difference, T_. What is the value of T_?  Add up all the ranks that have a positive difference, T+. What is the value of T+?  What is the test statistic, T? The minimum(T_,T+)?  From the Table of Critical Values for the Wilcoxon Matched Pairs Signed Rank Test, what is the critical value for the test?

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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.

What rank will observation 5 receive? 

Add up all the ranks that have a negative difference, T_. What is the value of T_? 

Add up all the ranks that have a positive difference, T+. What is the value of T+? 

What is the test statistic, T? The minimum(T_,T+)? 


From the Table of Critical Values for the Wilcoxon Matched Pairs Signed Rank Test, what is the critical value for the test?

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