(a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% con
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Question
(a) 90 percent confidence. (Round your answers to 4 decimal places.)
The 90% confidence interval is from to
(b) 95 percent confidence. (Round your answers to 4 decimal places.)
The 95% confidence interval is from to
(c) 99 percent confidence. (Round your answers to 4 decimal places.)
The 99% confidence interval is from to
(d) Describe how the intervals change as you increase the confidence level.
The interval gets narrower as the confidence level increases. The interval gets wider as the confidence level decreases. The interval gets wider as the confidence level increases. The interval stays the same as the confidence level increases.Explanation / Answer
Using z critical values
a) For alpha = 0.1, 1.645
90% CI = 36 +/- 1.645 * 4/sqrt(13) = (34.1750, 37.8250)
b) For alpha = 0.05, 1.96
95% CI = 36 +/- 1.96 * 4/sqrt(13) = (33.8256, 38.1744)
c) For alpha = 0.01, 2.576
99% CI = 36 +/- 2.576 * 4/sqrt(13) = (33.1422, 38.8578)
d) The interval gets wider as the confidence level increases.
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