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A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100, how likely is it that the sample mean will be within +/- 5 of the population mean?

A population has a standard deviation of 25 and a mean of 300. Given a random sample of size 100, how likely is it that the sample mean will be within +/- 5 of the population mean?

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Expert Solution

mean = =300

Standard deviation =25

Sample size =n=100

Standard error= = =2.5

Marin or error = 2* standard error = 2*2.5 = 5

We are 95% confident thatpopulation mean falls within +-5

population mean =+-margin of error =+-5=300+-5 =(295,305)

ekkarill92 answered 3 years ago
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