You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe thepopulation standard deviation is approximately o =estimate is within 1 of the true population mean. How large of a sample size is required? Do not roundmid-calculation.61.1. You would like to be 99% confident that your

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Description: You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe thepopulation standard deviation is approximately o =estimate is within 1 of the true population mean. How large of a sample size is required? Do not

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 o =
estimate is within 1 of the true population mean. How large of a sample size is required? Do not round
mid-calculation.
61.1. You would like to be 99% confident that your

Expert Solution

Step 1

$\mathrm{\mathbf{Given:}\;Population\;standard\;deviation\;(\sigma)=61.1,\;Margin\;of\;error\;(E)=1}$

Since we know population standard deviation, use z-distribution to find z-critical value.

$\mathrm{Confidence\; level\; (c) =99\%= 0.99}$

$\mathrm{\alpha =1-c=1-0.99=0.01}$

$\mathrm{\frac{\alpha}{2} =\frac{0.01}{2} =\mathbf{0.005}}$

Refer Standard normal table/Z-table OR use excel function "=NORM.S.INV(1-0.005)" to find the critical value of z.

$\mathbf{z_{\frac{\alpha }{2}}=2.5758293 }$

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