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.   a. The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 20 days. At the 0.10 level of​ significance, is there evidence that the claim is not true​ (that is, that the mean number of days is different from 20​)?   State the null and alternative hypotheses.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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Author:HOUGHTON MIFFLIN HARCOURT
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Chapter11: Data Analysis And Displays
Section: Chapter Questions
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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.

 

a. The supervisor claims that the mean number of days between the receipt of a complaint and the resolution of the complaint is 20 days. At the 0.10
level of​ significance, is there evidence that the claim is not true​ (that is, that the mean number of days is different from 20​)?
 
State the null and alternative hypotheses.
i Data Table
Days between receipt and resolution of complaint
134
52
59
4
32
38
154
127
23
112
3
125
102
160
73
66
24
18
11
22
94
84
39
25
21
1
10
3
31
31
24
24
22
3
13
38
12
11
19
11
11
30
58
37
24
25
25
26
36
60
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Transcribed Image Text:i Data Table Days between receipt and resolution of complaint 134 52 59 4 32 38 154 127 23 112 3 125 102 160 73 66 24 18 11 22 94 84 39 25 21 1 10 3 31 31 24 24 22 3 13 38 12 11 19 11 11 30 58 37 24 25 25 26 36 60 Print Done
Expert Solution
Step 1

One-Sample T-Test:

It is the hypothesis testing done for comparing the mean of the data to a specific value. As the name says it is one-sample t-test, the data of one sample is considered for the complete hypothesis testing and the test statistics will be found from that data.

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