Construct a 90% confidence interval to estimate the population mean using the data below. x=90 σ=15...

Question

Question

Construct a 90% confidence interval to estimate the population mean using the data below.

x=90

σ=15

n=40

N=400

The 90% confidence interval for the population mean is.

Answer 1

Answer #1

Answer

we have ar{x}=90, sigma = 15, n=40, N=400

Formula for the confidence interval is given as

CI = ar{x} pm z*(sigma/sqrt{n})

z score for 90% confidence interval is 1.64 (using z distribution table)

setting all the given values, we get

CI = 90 ± 1.64 * (15/V40)

this gives us

So, the required 90% confidence interval is (86.1104,93.8896)

Answer 2

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