You manage two call centers and are working on trying to reduce
the amount of time customers are placed on hold. You believe the
mean hold times at the two call centers are not the same so you
start by testing the claim that the mean hold time for Call Center
1 is different than the mean hold time for Call Center 2
.
You wish to test the claim that the mean hold time for Call
Center 1 is different than the mean hold time for Call Center 2 at
a significance level of α=0.10α=0.10.
You obtain the following two samples of data from each center.
Each data point is the amount of time (in seconds), a customer is
placed on hold.
Call Center 1 
Call Center 2 
66.5 
62.4 
56.7 
43.3 
53.8 
47.7 
53.7 
45.5 
47.7 
63.5 
48.7 
58.7 
57.4 
53.7 
52.7 

41.7 
41.7 
76.9 
44.5 
75.8 
76.3 
62.2 
68.4 
72.7 
43.6 
61.3 
64.8 
73.7 

 What is the test statistic for this sample?
test statistic = Round to 4 decimal places.
 What is the pvalue for this sample?
pvalue = Round to 4 decimal places.
 The pvalue is...
 less than (or equal to) αα
 greater than αα
 This test statistic leads to a decision to...
 reject the null
 accept the null
 fail to reject the null
 As such, the final conclusion is that...
 There is sufficient evidence to warrant rejection of the claim
that the mean hold time for Call Center 1 is different than the
mean hold time for Call Center 2.
 There is not sufficient evidence to warrant rejection of the
claim that the mean hold time for Call Center 1 is different than
the mean hold time for Call Center 2.
 The sample data support the claim that the mean hold time for
Call Center 1 is different than the mean hold time for Call Center
2.
 There is not sufficient sample evidence to support the claim
that the mean hold time for Call Center 1 is different than the
mean hold time for Call Center 2.