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A population is normal with a variance of 36. Suppose you wish to estimate the population...

A population is normal with a variance of 36. Suppose you wish to estimate the population mean m. Find the sample size needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 4 units.

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Given that:-

A population is normal with a variance of 36. Suppose you wish to estimate the population mean m. Find the sample size needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 4 units.

Variance =36, stdev=

Std error=stdev/sqrt(n)=sqrt(36/n)

Margin of error=+4

alpha=1-0.95=0.05

Critical probability

Critical value for cumulative probability 0.975 is +1.96

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