Use the sample information xx 36, 7, n 16 tocalculate the follo...

Use the sample information xâŽ¯âŽ¯x = 36, Ïƒ = 7, n = 16 to calculate the...

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Use the sample information xâŽ¯âŽ¯x = 36, Ïƒ = 7, n = 16 tocalculate the following confidence intervals for Î¼assuming the sample is from a normal population.
(a) 90 percent confidence. (Round youranswers to 4 decimal places.)
The 90% confidence interval is fromÂ Â to
(b) 95 percent confidence. (Round youranswers to 4 decimal places.)
The 95% confidence interval is fromÂ Â to
(c) 99 percent confidence. (Round youranswers to 4 decimal places.)
The 99% confidence interval is fromÂ Â 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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Solution Given that 36 7n 16aAt 90 confidence level the z is 1 90 1 090 010 2 010 2 005Z2 Z005 1645Margin of error E Z2 n 1645 7 16 28786At 90 confidence interval See Answer

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	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.