. What are the confidence intervals given X ̅ = 10, s = .5, and N = 20, find the 95% CI of µ?
Solution :
t /2,df = 2.093
Margin of error = E = t/2,df * (s /n)
= 2.093 * (0.5 / 20)
Margin of error = E = 0.2
The 95% confidence interval estimate of the population mean is,
- E < < + E
10 - 0.2 < < 10 + 0.2
9.8 < < 10.2
(9.8 , 10.2)
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