document.write( "Question 271411: 9.19 Calculate the test statistic and p-value for each sample.
\n" ); document.write( "a. H0: μ = 60 versus H1: μ /=(not = to) 60, α = .025, ¯ x = 63, σ = 8, n = 16
\n" ); document.write( "b. H0: μ ≥ 60 versus H1: μ < 60, α = .05, ¯ x = 58, σ = 5, n = 25
\n" ); document.write( "c. H0: μ ≤ 60 versus H1: μ > 60, α = .05, ¯ x = 65, σ = 8, n = 36 \n" ); document.write( "
Algebra.Com's Answer #198733 by stanbon(75887)\"\" \"About 
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Calculate the test statistic and p-value for each sample.
\n" ); document.write( "a. H0: μ = 60 versus H1: μ /=(not = to) 60, α = .025, ¯ x = 63, σ = 8, n = 16
\n" ); document.write( "test stat: invT(0.125,15) = -4.98
\n" ); document.write( "p-value = 2*P(-100 < t < -4.98) = 0.0001646..
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\n" ); document.write( "\n" ); document.write( "b. H0: μ ≥ 60 versus H1: μ < 60, α = .05, ¯ x = 58, σ = 5, n = 25
\n" ); document.write( "test stat: invT(0.95,24)*5/sqrt(25) = 1.7109
\n" ); document.write( "p-value = P(1.7109 < t < 100) = 0.05
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\n" ); document.write( "\n" ); document.write( "c. H0: μ ≤ 60 versus H1: μ > 60, α = .05, ¯ x = 65, σ = 8, n = 36
\n" ); document.write( "test stat: invT(0.05,35) = -1.6896
\n" ); document.write( "p-value = P(-100< t < -1.6896) = 0.05
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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