Question

In: Statistics and Probability

Construct the confidence interval for the population mean μ. c=0.98 , (overbar above x) x=7.3 ,...

Construct the confidence interval for the population mean μ.

c=0.98 , (overbar above x) x=7.3 , σ=0.3 , and n=50

A 98 % confidence interval for μ IS (____,_____)

(Round to two decimal places as needed.)

Expert Solution

Solution :

Given that,

= 7.3

= 0.3

n = 50

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 * (0.3 / $\sqrt$ 50 )

= 0.10

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

- E < < + E

7.3 - 0.10 < < 7.3 + 0.10

7.20 < < 7.40

( 7.20 , 7.40 )

orchestra answered 2 years ago

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