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Calculate the lower confidence limit (LCL) of the mean for the following: x¯= 600, n =...

Calculate the lower confidence limit (LCL) of the mean for the following: x¯= 600, n = 94, σ = 8 (sigma), α = 0.10 (alpha).

Solutions

Expert Solution

Solution :

Given that,

= 600

= 8.8

n = 94

A ) At 95% confidence level the z is ,

  = 0.10

/ 2 = 0.10 / 2 = 0.05

Z/2 = Z0.05 = 1.645

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

= 1.645 * (8 / 94 )

= 1.36

At 80% confidence interval estimate of the population mean is,

- E < < + E

600 - 1.36 < < 600 + 1.36

598.64 < < 601.36

The lower confidence limit = 598.64

orchestra answered 2 years ago
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