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Estimate of the mean lifetime

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Part A-

The lengths of mature jalapeño fruits are normally distributed with a mean of 3 inches and a standard deviation of 1 inch.

What is the probability that a randomly selected mature jalapeño fruit is between 1.5 and 4 inches long?

Find the 90th percentile of the jalapeño fruit length distribution.

If a random sample of 100 mature jalapeño fruits is selected, what is the standard deviation of the sample mean?

Part B-

A random sample of 100 light bulbs has a mean lifetime of 3000 hours. Assume that the population standard deviation of the lifetime is 500 hours. Construct a 95% confidence interval estimate of the mean lifetime. Show all work. Just the answer, without supporting work, will receive no credit.

Reference no: EM13903268

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