During a period of one​ month, a random sample of 27 approved life insurance policies is​ selected, and the total processing​ time, in​ days, is recorded as shown in the data table below. Total processing​ time, in days   70 19 16 64 28 28 31 90 56 51 34 56 22 18   53 42 23 17 17 91 86 63 50 51 69 16 17     1. In the​ past, the mean processing time was 42 days. At the 0.01 level of​ significance, is there evidence that the mean processing time has changed from 42 days?   State the null and alternative hypotheses.   H0: H1:   Determine the test statistic. The test statistic is ____. (round to four decimal places as needed.)   Find the p-value p-value= ____ (Round to four decimal places as needed.)   State the conclusion.   __A____ H0. There is __B___ evidence to conclude that the mean processing time has changed from 42 days.   A: Reject or do not reject B: insufficient or sufficient

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During a period of one​ month, a random sample of 27 approved life insurance policies is​ selected, and the total processing​ time, in​ days, is recorded as shown in the data table below.

Total processing​ time, in days
 
70
19
16
64
28
28
31
90
56
51
34
56
22
18
 
53
42
23
17
17
91
86
63
50
51
69
16
17
 
 
1. In the​ past, the mean processing time was 42 days. At the
0.01 level of​ significance, is there evidence that the mean processing time has changed from 42 days?
 
State the null and alternative hypotheses.
 
H0:
H1:
 
Determine the test statistic.
The test statistic is ____. (round to four decimal places as needed.)
 
Find the p-value
p-value= ____ (Round to four decimal places as needed.)
 
State the conclusion.
 
__A____ H0. There is __B___ evidence to conclude that the mean processing time has changed from 42 days.
 
A: Reject or do not reject
B: insufficient or sufficient  
 
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