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The shop owner has noticed that the service times of a sample of 40 new bikes has a population variance of 49 minutes. Compute a

The shop owner has noticed that the service times of a sample of 40 new bikes has a population variance of 49 minutes.

Compute a 90% confidence interval estimate for the variance of service times (in minutes) for all their new bikes.

The manager of the service department of the bike shop wants to test the claim that the variance of the service time is 36 minutes.

Test this claim using a significance level of 0.01.

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