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If Upper X bar= 147​, sigma=28​, and n=33​, construct a 95​% confidence interval estimate of the...

If Upper X bar= 147​, sigma=28​, and n=33​, construct a 95​% confidence interval estimate of the population​ mean, u .

Solutions

Expert Solution

Solution :

Given that,

= 147

= 28

n = 33

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96

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

= 1.96 * (28 / 33)

= 9.5534

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

- E < < + E

147 - 9.5534 < < 147 +9.5534

137.4466< < 156.5534

(137.4466 , 156.5534 )

orchestra answered 1 year ago
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