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StatisticsQ&A LibraryYou want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard deviation is approximately σ=37.8σ=37.8. You would like to be 90% confident that your estimate is within 1 of the true population mean. How large of a sample size is required?Question

Asked Nov 22, 2019

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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=37.8σ=37.8. You would like to be 90% confident that your estimate is within 1 of the true population mean. How large of a sample size is required?

Step 1

Step-by-step procedure to obtain the value of *z* using MINITAB:

- Choose
**Graph > Probability Distribution Plot**choose**View Probability****> OK.** - From
**Distribution**, choose ‘**Normal**’ distribution. - Click the
**Shaded Area** - Choose
**Probability**and**Both Tail**for the region of the curve to shade. - Enter the
**Probability****value**as**10**. - Click
**OK**.

Output using the MINITAB software is given below:

Step 2

From the output, the value of *z* is 1.645 for 90% confidence...

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