If X overbar=65, S=14, and n=49, and assuming that the population is normally distributed, construct a...

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If X overbar=65, S=14, and n=49, and assuming that the population is normally distributed, construct a...

If X overbar=65, S=14, and n=49, and assuming that the population is normally distributed, construct a 99% confidence interval estimate of the population mean, μ.

math Statistics-And-Probability

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Answer 1

Answer #1

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The formula to calculate the 99% confidence interval for population mean is $ar{x}pm t_{df=n-1}^{rac{alpha}{2}}left ( rac{s}{sqrt{n}} ight )$

t i2 - 2.6822042.6822

Lower limit:

řーぱ(#)- .49 65-2.6822 = 65-5.3644 59.6356

Upper limit:

5+ (#) .49 r48 = 65 + 2.6822 = 65 5.3644 = 70.3644 Vn

So the 99% confidence interval for the population mean is (59.6356,70.3644).

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Answer 2

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If X overbar=65, S=14, and n=49, and assuming that the population is normally distributed, construct a...

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