SOLUTION: Calculate the test statistic and p-value for each sample. a. H0: μ = 60 versus H1: μ = 60, α = .025, ¯x = 63, σ = 8, n = 16 b. H0: μ ≥ 60 versus H

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Question 142566This question is from textbook
: Calculate the test statistic and p-value for each sample.
a. H0: μ = 60 versus H1: μ = 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 This question is from textbook

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 is not = 60, α = .025, ¯x = 63, σ = 8, n = 16
Two-tailed test:
t(63)= (63-60)/[8/sqrt(16)] = 12/8 = 1.5
p-value = 2*P(1.5 < t < 10, and df=15) = 2*0.07718...= 0.1544
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b. H0: μ ≥ 60 versus H1: μ < 60, α = .05, ¯x = 58, σ = 5, n = 25
One-tail test:
t(58) = (58-60)/[5/sqrt(25)] = -2
p-value = P(-10 < t < -2; df=24) = 0.02847...
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c. H0: μ ≤ 60 versus H1: μ > 60, α = .05, ¯x = 65, σ = 8, n = 36
One-tail test:
z(65) = (65-60)/[8/sqrt(36)] = 3.75
p-value = P(3.75 < z < 10) = 0.000088445....
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Cheers,
Stan H.
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