Question 271411: 9.19 Calculate the test statistic and p-value for each sample.
a. H0: μ = 60 versus H1: μ /=(not = to) 60, α = .025, ¯ x = 63, σ = 8, n = 16
b. H0: μ ≥ 60 versus H1: μ < 60, α = .05, ¯ x = 58, σ = 5, n = 25
c. H0: μ ≤ 60 versus H1: μ > 60, α = .05, ¯ x = 65, σ = 8, n = 36
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Calculate the test statistic and p-value for each sample.
a. H0: μ = 60 versus H1: μ /=(not = to) 60, α = .025, ¯ x = 63, σ = 8, n = 16
test stat: invT(0.125,15) = -4.98
p-value = 2*P(-100 < t < -4.98) = 0.0001646..
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b. H0: μ ≥ 60 versus H1: μ < 60, α = .05, ¯ x = 58, σ = 5, n = 25
test stat: invT(0.95,24)*5/sqrt(25) = 1.7109
p-value = P(1.7109 < t < 100) = 0.05
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c. H0: μ ≤ 60 versus H1: μ > 60, α = .05, ¯ x = 65, σ = 8, n = 36
test stat: invT(0.05,35) = -1.6896
p-value = P(-100< t < -1.6896) = 0.05
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Cheers,
Stan H.
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