4) On a standard IQ test, σ = 15. How many random IQ scores must be obtained if we want to find the true population mean, with an allowable error of 0.5 and we want 99% confidence in the results?
5) Given n = 25, s = 15, and α = 0.01, find the maximum error of estimate, E.
4)
Given that,
Population standard deviation =
= 15
Margin of error = E = 0.5
Z/2
= 2.576
sample size = n = [Z/2*
/ E] 2
n = [2.576 * 15 / 0.5]2
n = 5973
Sample size = n = 5973
5)
t
/2,df = 2.797
Margin of error = E = t/2,df
* (s /
n)
= 2.797 * (15 /
25)
Margin of error = E = 8.391
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