Question

In: Statistics and Probability

construct the confidence interval for the population mean μ. c=0.98, _ x=4.7, o'=0.9 and n=42. A...

construct the confidence interval for the population mean μ. c=0.98, _ x=4.7, o'=0.9 and n=42. A 98% confidence interval for μ is ( _ , _ )

Expert Solution

Solution :

Given that,

= 4.7

= 0.9

n = 42

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 * (0.9 / $\sqrt$ 42)

= 0.3

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

- E < < + E

4.7 - 0.3 < < 4.7 + 0.3

4.4 < < 5.0

(4.4 , 5.0)

orchestra answered 2 years ago

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