ast 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 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​)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
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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 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.
H0:
H1:
 
Determine the test statistic.
The test statistic is ___.
 
the t critical is​ t.005,49 = 2.6800
 
since the t stat is more than the t critical we reject Ho
 
State the conclusion.
 
__A__ H0. There is __B__ evidence to conclude that the mean number of days is different from 20.
 
A: Reject or do not reject
B: sufficient or insufficient



Data Table
Days between receipt and resolution of complaint
64
68
55
74
82
20
27
37 135
17 14 125
25
1
26
35
23
155
128
20
107
166
17
24
39
102
92
36
34
21
5
35
29
52
29
38
10
19
10
20
17
32
25
21
26
36
60
Print
Done
me
2.
Transcribed Image Text:Data Table Days between receipt and resolution of complaint 64 68 55 74 82 20 27 37 135 17 14 125 25 1 26 35 23 155 128 20 107 166 17 24 39 102 92 36 34 21 5 35 29 52 29 38 10 19 10 20 17 32 25 21 26 36 60 Print Done me 2.
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