Question

In: Statistics and Probability

Construct the confidence interval for the population mean ?. c=0.98 x = 15.6 ?=3.0 and =65...

Construct the confidence interval for the population mean ?.

c=0.98

x = 15.6

?=3.0

and

=65

98% confidence interval for ? is...

?(Round to one decimal place as? needed.)

Solutions

Expert Solution

Solution :

Given that,

= 15.6

= 3.0

n = 65

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 * (3.0 / $\sqrt$ 65)

= 0.9

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

- E < < + E

15.6 - 0.9 < < 15.6 + 0.9

14.7< < 16.5

(14.7 , 16.5)

orchestra answered 1 year ago

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