Question

If Upper X overbar=103

sigmaσ=8

and

n=65

Construct a 95% confidence interval estimate of the population mean u

_______ is less than or equal to u ______ less than or equal to

interval estimate should be rounded to two decimal points please

construct a

9595​%

confidence interval estimate of the population​ mean, mu .μ.

nothingless than or equals≤muμless than or equals≤nothing

Answer 1

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* ( /n)

= 1.96 * ( 8/ 65 )

= 1.94

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

- E < < + E

103 - 1.94 < < 103 + 1.94

10.06 < < 104.94