You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=62.5σ=62.5. You would like to be 95% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required? Round up to nearest whole number.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=62.5σ=62.5. You would like to be 95% confident that your estimate is within 1.5 of the true population mean. How large of a sample size is required? Round up to nearest whole number.

Expert Solution
Step 1:

Since we know population standard deviation, use z-distribution.

Find z-critical value:

Refer Standard normal table/Z-table OR use excel function "=NORM.S.INV(1-0.025)" to find the critical value of z.

 

 

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