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(See Solution) A manufacturer of electric motors tests insulation at a high temperature (250° C) and records the number of hours until the insulation fails.

Question: A manufacturer of electric motors tests insulation at a high temperature (250° C) and records the number of hours until the insulation fails. The data for 5 specimens are

446 326 372 377 310

The small sample size makes judgment from the data difficult, but engineering experience suggests that the logarithm of the failure time will have a normal distribution. Take the logarithms of the 5 observations, and use t procedure to give a 90% confidence interval for the mean of the log failure time for insulation of this type.

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