Salaries of 47 47 college graduates who took a statistics course in college have a mean, x overbar x, of $ 63 comma 400 $63,400. Assuming a standard deviation, sigma σ, of $ 11 comma 850 11,850, construct a 99 99% confidence interval for estimating the population mean mu μ.
Solution :
Given that,
Z/2
= 2.576
Margin of error = E = Z/2*
(
/
n)
= 2.576 * (11850 /
47)
= 4453
At 99% confidence interval estimate of the population mean is,
- E <
<
+ E
63400 - 4453 <
< 63400 + 4453
58947 <
< 67853
(58947 , 67853)
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