The 99% confidence interval of a population mean is (1,7). One of the following is the...
The 99% confidence interval of a population mean is (1,7). One of the following is the 95% confidence interval. Which is it?
(a) (2,6)
(b) (1,6)
(c) (0,8)
(d) (2,7)
Homework Answers
mean = (1 + 7)/2 = 4
ME = 7 - 4 = 3
z-value for 99% CI is 2.5758
SE = ME/z = 3/2.5758 = 1.1647
z-value for 95% CI is 1.96
CI = (mean - z*SE, mean + z*SE)
CI = (4 - 1.96*1.1647, 4 + 1.96*1.1647)
= (1.7172, 6.2828)
Rounding
= (2, 6)
Option A
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