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An anthropologist wished to calculate the average hight of men of a certain race. If we...

An anthropologist wished to calculate the average hight of men of a certain race. If we supose that the population standard deviation is 2.5 inches and if she tests 100 men randomly, find the porbability that the diference in the sample mean and the population mean does not exeed 0.5 inches.

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Answer #1

Let denotes the sample mean.

Now,

or

The probability that the diference in the sample mean and the population mean does not exeed 0.5 inches

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