document.write( "Question 336916: 10. Which of the following statements is correct?
\n" ); document.write( "a. For a given level of significance, the critical value of Student's t increases as n increases.
\n" ); document.write( "b. A test statistic of t = 2.131 with d.f. = 15 leads to a clear-cut decision in a two-tailed test where α = .05
\n" ); document.write( "c. It is harder to reject the null hypothesis when conducting a two-tailed test rather than a one-tailed test.
\n" ); document.write( "If we desire α = 0.10 then a p-value of 0.13 would lead us to reject the null hypothesis.\r
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Algebra.Com's Answer #241541 by stanbon(75887)\"\" \"About 
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Which of the following statements is correct?
\n" ); document.write( "a. For a given level of significance, the critical value of Student's t increases as n increases.
\n" ); document.write( "It increases for a left-tail test; It decreases for a right-tail test.
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\n" ); document.write( "b. A test statistic of t = 2.131 with d.f. = 15 leads to a clear-cut decision in a two-tailed test where α = .05
\n" ); document.write( "2*tcdf(2.131,1000,15) = 5%
\n" ); document.write( "Not a clear-cut decision
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\n" ); document.write( "c. It is harder to reject the null hypothesis when conducting a two-tailed test rather than a one-tailed test.
\n" ); document.write( "The procedure is similar.
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\n" ); document.write( "If we desire α = 0.10 then a p-value of 0.13 would lead us to reject the null hypothesis.
\n" ); document.write( "No; since the p-value is greater that 10% you would fail to reject Ho.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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