If the sample mean lifetime of the 100 batteries were 36.7, Ask an Expert

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A battery manufacturer claims that the lifetime of a certain type of battery has a population mean of 40 hours and a standard deviation of 5 hours. Let X represent the mean lifetime of the batteries in a simple random sample of size 100.

A) If the claim is true, what is P(x<36.7)
B) based on the answer to part A, if the claim is true, is a sample mean lifetime of 36.7 hours unusually short?
C) If the sample mean lifetime of the 100 batteries were 36.7 hours. would you find the manufacturer's claim plausible? Explain.

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Category:- Statistics and Probability
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