Use the sample information x⎯⎯x = 36, σ = 7, n = 16 tocalculate the following confidence intervals for μassuming the sample is from a normal population.
(a) 90 percent confidence. (Round youranswers to 4 decimal places.)
The 90% confidence interval is from  to
(b) 95 percent confidence. (Round youranswers to 4 decimal places.)
The 95% confidence interval is from  to
(c) 99 percent confidence. (Round youranswers to 4 decimal places.)
The 99% confidence interval is from  to
(d) Describe how the intervals change as youincrease the confidence level.
| The interval gets narrower as theconfidence level increases. |
| The interval gets wider as theconfidence level decreases. |
| The interval gets wider as theconfidence level increases. |
| The interval stays the same as theconfidence level increases.
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