The waiting time to check out of a supermarket has had apopulation mean of 10.73
ID: 2914987 • Letter: T
Question
The waiting time to check out of a supermarket has had apopulation mean of 10.73 minutes. Recently, in an effort to reducethe waiting time the supermarket has experimented with a system inwhich there is a single waiting line with multiple checkoutservers. A sample of 100 customers was selected, and their meanwaiting time to check out was 9.52 minutes with a sample standarddeviation of 5.8 minutes.
A)at the .05 level of significance, using the critical valueapproach to hypothesis testing, is there evidence that thepopulation mean waiting time to check out is less than 10.73minutes?
B)at the .05 level of significance, using the p-value approachto hypothesis testing, is there evidence that the population me4anwaiting time to check out is less than 10.73minutes?
C)interpret the meaning of the p-value in this problem.
D)compare your conclusions in A and B
Explanation / Answer
A. z = (9.52-10.73)/(5.8/(100)) = -2.09, CV is 1.96 and-2.09 < -1.96 so we reject null hypothesis and conclude thatthere has been a significant decrease. B. P(zRelated Questions
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