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 S had the values Before - 81 and After- 78. What is the difference before - after of these values?E What rank will observation 5 receive?2 Add up all the ranks that have a negative dfference, T What is the value of T 19 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(TT+) From the Table of Critical Values for the Wilcoxon Matched Pairs Signed Rank Test, what is the critical value for the test? What can be conduded for the study? O Performance ratings significantly increased after the workshops. O Performance ratings significantly decreased after the workshops. O There is a significant difference in performance ratings after the workshops. O There is no significant increase in performance ratings after the workshops.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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
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? 3
What rank will observation 5 receive? 2
Add up all the ranks that have a negative difference, T_. What is the value of T_? 19
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?
What can be concluded for the study?
O Performance ratings significantly increased after the workshops.
O Performance ratings significantly decreased after the workshops.
O There is a significant difference in performance ratings after the workshops.
O There is no significant increase in performance ratings after the workshops.
Transcribed Image Text: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 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? 3 What rank will observation 5 receive? 2 Add up all the ranks that have a negative difference, T_. What is the value of T_? 19 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? What can be concluded for the study? O Performance ratings significantly increased after the workshops. O Performance ratings significantly decreased after the workshops. O There is a significant difference in performance ratings after the workshops. O There is no significant increase in performance ratings after the workshops.
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