Question: A random sample of 100 gear boxes are selected from a population of gear boxes that are used along an assembly line, in order to

A random sample of 100 gear boxes are selected from a population of gear boxes that are used along an assembly line, in order to estimate their average number of hours of use before they require maintenance. An analysis of the sample reveals the following: = 2,305 h

= 210.4 h

a. Compute the 90% confidence interval for the average number of useful hours of these gear boxes

before maintenance is required. Interpret this interval.

b. How many gear boxes should be selected in order to estimate their mean number of hours of useful life before maintenance is required, within 10 hours, and with a 90% confidence level?

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