Construct a 90% confidence interval to estimate the population mean using the data below. x overbarequals80...
Construct a 90% confidence interval to estimate the population mean using the data below. x overbarequals80 sigmaequals20 nequals30 Nequals300 The 90% confidence interval for the population mean is left parenthesis nothing comma nothing right parenthesis . (Round to two decimal places as needed.)
Homework Answers
sample mean, xbar = 80
sample standard deviation, σ = 20
sample size, n = 30
Given CI level is 90%, hence α = 1 - 0.9 = 0.1
α/2 = 0.1/2 = 0.05, Zc = Z(α/2) = 1.64
ME = zc * σ/sqrt(n)
ME = 1.64 * 20/sqrt(30)
ME = 5.99
CI = (xbar - Zc * s/sqrt(n) , xbar + Zc * s/sqrt(n))
CI = (80 - 1.64 * 20/sqrt(30) , 80 + 1.64 * 20/sqrt(30))
CI = (74.01 , 85.99)
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