Question

In: Math

Construct the confidence interval for the population mean muμ. cequals=0.980.98 , x overbar equals 9.1x=9.1 ,...

Construct the confidence interval for the population mean

muμ.

cequals=0.980.98 ,

x overbar equals 9.1x=9.1 ,

sigmaσequals=0.40.4 ,

and

nequals=4141

A 9898 % confidence interval for muμ is (___,___) (Round to two decimal places as needed.)

Expert Solution

Solution :

Given that,

= 9.1

= 0.4

n = 41

At 98% confidence level the z is ,

= 1 - 98% = 1 - 0.98 = 0.02

/ 2 = 0.02 / 2 = 0.01

Z_/2 = Z_0.01 = 2.326

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

= 2.326 * (0.4 / $\sqrt$ 41)

= 0.15

At 98% confidence interval estimate of the population mean is,

- E < < + E

9.1 - 0.15 < < 9.1 + 0.15

8.95 < < 9.25

(8.95 , 9.25)

milcah answered 2 months ago

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