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show your work please How many female statistics student ages must be obtained in order to...

show your work please

How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics students? Assume that the standard devation is 17.7 we want how 95% confidence and to be within one-half year of the population mean.

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Answer #1

Solution :

Given that,

Population standard deviation = = 17.7

Margin of error = E = 0.5

Z/2 = 1.96

sample size = n = [Z/2* / E] 2

n = [1.96 * 17.7/ 0.5]2

n = 4,815

Sample size = n = 4,815

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