Question 336916: 10. Which of the following statements is correct?
a. For a given level of significance, the critical value of Student's t increases as n increases.
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
c. It is harder to reject the null hypothesis when conducting a two-tailed test rather than a one-tailed test.
If we desire α = 0.10 then a p-value of 0.13 would lead us to reject the null hypothesis.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Which of the following statements is correct?
a. For a given level of significance, the critical value of Student's t increases as n increases.
It increases for a left-tail test; It decreases for a right-tail test.
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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
2*tcdf(2.131,1000,15) = 5%
Not a clear-cut decision
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c. It is harder to reject the null hypothesis when conducting a two-tailed test rather than a one-tailed test.
The procedure is similar.
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If we desire α = 0.10 then a p-value of 0.13 would lead us to reject the null hypothesis.
No; since the p-value is greater that 10% you would fail to reject Ho.
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Cheers,
Stan H.
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