A Lowe's hardware franchisee has collected data on the number of complaints submitted over samples of different numbers of days at their two locations.
A n=18 xbar=12 s1=5
B n=9 xbar=8.8 s2=4
What is the observed value of the test statistic you would use to test whether location A has more complaints than location B?
Hypothesis : Vs
The pooled estimate is ,
df=degrees of freedom=18+9-2=25
The critical value is ,
; From t-table
The test statistic is ,
Decision : Here , the value of the test statistic does not lies in the rejection region.
Therefore , fail to reject Ho.
Conclusion : Hence , there is not sufficient evidence to support the claim that the location A has more complaints than location B.
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