Assume that a sample is used to estimate a population mean μμ. Find the margin of error (M.O.E.) that corresponds to a sample of size 18 with a mean of 36.2 and a standard deviation of 18.9 at a confidence level of 95%. Report MOE accurate to one decimal place.
Assume that a sample is used to estimate a population mean μμ. Find the margin of error (M.O.E.) that corresponds to a sample of size 18 with a mean of 36.2 and a standard deviation of 18.9 at a confidence level of 95%. Report MOE accurate to one decimal place.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Assume that a sample is used to estimate a population
Find the margin of error (M.O.E.) that corresponds to a
Report MOE accurate to one decimal place.
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Step 1 Introduction
Given that :
A sample of size (n) = 18
Mean of sample of size (µ) = 18
Standard deviation ( σ ) = 18.9
A confidence level is given : 95%
therefore, the confidence level is equal to .95
We know that
where,
Note : Look for the 0.025 (area value ) in the body of the table then look corresponding Z -value. For 0.025 the Z - value is -1.96.
or in excel use command
where probability = 0.025
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