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Use the given statistics and population standard deviation

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Asked: Jan 10,2019 In: Confidence intervals
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name data Genius Punditsdkoslkdosdkoskdo
Asked: Jan 10,2019 In: Confidence intervals

Use the given statistics and population standard deviation

Use the given statistics and population standard deviation to construct the confidence interval for the population mean.
c=0.98, x_bar = 16.1, sigma = 7.0, and n= 70

A 98% confidence interval for u is (14.2, 18.0). (it is advisable to round your answer to one decimal place.)
 


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tutor Added an answer on Jun 04,2019

The confidence interval is constructed using the normal distribution because the population standard deviation is given. 

The confidence interval =  x_bar +/- z  * sigma/sqrt(n)

Obtain the confidence level statistic for 0.98, using Excel , To obtain the 98% confidence interval statistic using Excel.

 =NORM.S.INV(1-0.02/1)  = 2.054,

16.1 +/-  2.054 * 7.0/sqrt(70); 16.1 +/- 1.719  =>  (14.381,17.819)

 

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