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If x(overbar) =103 and sigma=8 and n=65 construct a 95% confidence interval estimate of the population...

If x(overbar) =103 and sigma=8 and n=65 construct a 95% confidence interval estimate of the population mean, u

Expert Solution

Solution :

Given that,

Point estimate = sample mean = = 103

Population standard deviation = = 8

Sample size = n =65

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z_/2 = Z_0.025 = 1.96

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

= 196 * (8 / $\sqrt$ 65)

= 1.94
At 95% confidence interval estimate of the population mean
is,

- E < < + E

103 - 1.94 < < 103 + 1.94

101.06 < < 104.94

milcah answered 4 months ago

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