The production manager of MPS Audio Systems Inc. is concerned about the idle tim
ID: 2936889 • Letter: T
Question
The production manager of MPS Audio Systems Inc. is concerned about the idle time of workers. In particular, he would like to know if there is a difference in the idle minutes for workers on the day shift and the evening shift. The information below is the number of idle minutes yesterday for the five day-shift workers and the six evening-shift workers. Day Shift 87 108 97 104 86 Evening Shift 95 107 127 84 125 118 State the decision rule. Use the .05 significance level. Ho Idle minutes are the same. H1 Idle minutes are not the same. (Negative amount should be indicated by a minus sign. Round your answers to two decimal places.) Reject Ho if zExplanation / Answer
Day minutes
Rank
Evening minutes
Rank
87
3
95
4
108
8
107
7
97
5
127
11
104
6
84
1
86
2
125
10
118
9
TOTAL
24
42
>
R CODE :
> wilcox.test(x,y,paired=F,conf.level=0.95)
Wilcoxon rank sum test
data: x and y
W = 9, p-value = 0.329
alternative hypothesis: true location shift is not equal to 0
Since p-value <0.05, we reject the null hypothesis and conclude that there is a significant difference in the idle minutes for day and evening shifts.
Day minutes
Rank
Evening minutes
Rank
87
3
95
4
108
8
107
7
97
5
127
11
104
6
84
1
86
2
125
10
118
9
TOTAL
24
42
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