Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint. The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 30 days. At the 0.01 level of​ significance, is there evidence that the claim is not true​ (that is, that the mean number of days is different from 30​)? a. State the null and alternative hypotheses. b. Determine the test statistic. c. Find the​ p-value. d.State the conclusion.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Last year a company received 50 complaints concerning carpet installation. The data in the accompanying table represents the number of days between the receipt of a complaint and the resolution of the complaint.

The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 30 days. At the 0.01 level of​ significance, is there evidence that the claim is not true​ (that is, that the mean number of days is different from 30​)?

a. State the null and alternative hypotheses.

b. Determine the test statistic.

c. Find the​ p-value.

d.State the conclusion.

Days between receipt and resolution of complaint
47
54
35
132
38
27
153
128
82
79
24
20
20
116
104
112
19
95
87
37
27
22
1
11
160
30
31
21
23
27
6
11
10
19
10
11
20
22
54
35
25
32
22
20
22
33
68
Transcribed Image Text:Days between receipt and resolution of complaint 47 54 35 132 38 27 153 128 82 79 24 20 20 116 104 112 19 95 87 37 27 22 1 11 160 30 31 21 23 27 6 11 10 19 10 11 20 22 54 35 25 32 22 20 22 33 68
Expert Solution
Step 1
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82  
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21  
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54  
79  
37  
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27  
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35  
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20  
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6  
25  
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32  
38  
116  
11  
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2  
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153  
112  
160  
10  
22  
3  
19  
30  
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128  
95  
31  
20  
68  
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43.9 Mean
41.4105 Stdev
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