A sample of 36 dishwashers yields a mean replacement time of 11.5 years. Given that σ...

A sample of 36 dishwashers yields a mean replacement time of 11.5 years. Given that σ =2.6, find the margin of error in estimating μ at the 98% level of confidence. Round to one decimal place.

Expert Solution

Solution :

Given that,

Point estimate = sample mean = = =11.5

Population standard deviation = =2.6

Sample size = n =36

At 98% confidence level the z is ,

= 1 - 98% = 1 - 0.98 = 0.02

/ 2 = 0.02/ 2 = 0.01

Z/2 = Z0.01 = 2.326 ( Using z table )

Margin of error = E = Z/2 * ( / $\sqrt$ n)

= 2.326 * ( 2.6 / $\sqrt$ 36 )

= 1.0079

=1.0

orchestra answered 2 years ago

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