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The amount of time customers at a “Quick-Change” motor oil store spend waiting f

ID: 3155878 • Letter: T

Question

The amount of time customers at a “Quick-Change” motor oil store spend waiting for their cars to be serviced has the Normal distribution with mean and standard deviation = 4 minutes. It is company policy that the customer wait time should be 20 minutes (or less). The manager of a particular store selects a random sample of 150 customer wait times and observes a mean wait time of 21 minutes. If the manager had decided to construct a 90% confidence interval (instead of a 95% confidence interval), her margin of error would . . .

be smaller.

be larger.

not change.

become larger or smaller, depending upon the sample taken.

Explanation / Answer

The amount of time customers at a “Quick-Change” motor oil store spend waiting for their cars to be serviced has the Normal distribution with mean and standard deviation = 4 minutes. It is company policy that the customer wait time should be 20 minutes (or less). The manager of a particular store selects a random sample of 150 customer wait times and observes a mean wait time of 21 minutes. If the manager had decided to construct a 90% confidence interval (instead of a 95% confidence interval), her margin of error would . . .

be smaller.

be larger.

not change.

become larger or smaller, depending upon the sample taken.

CI= mean±t*se or mean±z*se

90% confidence interval is smaller than 95% confidence interval because the table value of t or z at 90% level is smaller than 95% level.

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