Sample mean to population mean How to use sample

Paula Good 2022-03-31 Answered
Sample mean to population mean
How to use sample mean to know the population mean? Now I have sample mean, sd and population mean. They are 37.28, 25 and 34. Sample size is 25 Here is my thought N<25. Sample mean may not equal to population mean. population mean is 37.28+2525=42 Am i correct?
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Answers (1)

SofZookywookeoybd
Answered 2022-04-01 Author has 15 answers

Hint: The 1α confidence interval for μ is
{Xz(1α2)σnX+z(1α2)σn}
z(1α2) is the z-value of the standard normal distribution. 1α is the confidence level.
In your case X=37.28,σ=34 and 1α2=10.012=0.995.

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