Question

23. State whether each of the following related-samples t tests is significant for a two-tailed test...

23. State whether each of the following related-samples t tests is significant for a two-tailed test at a .05 level of significance.

t(30) = 3.220

t(12) = 2.346

t(18) = 2.034

t(60) = 1.985

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Answer #1

(1) t(30) = 3.220

The critical value at 0.05 level of significance and 30 df = 2.042

Conclusion: The value of t is greater than critical value of t. Hence we can conclude that t-test is significant.

(2) t(12) = 2.346

The critical value at 0.05 level of significance and 12 df = 2.179

Conclusion: The value of t is greater than critical value of t. Hence we can conclude that t-test is significant.

(3) t(18) = 2.034

The critical value at 0.05 level of significance and 18 df = 2.101

Conclusion: The value of t is less than critical value of t. Hence we can conclude that t-test is not significant.

(4) t(60) = 1.985

The critical value at 0.05 level of significance and 60 df = 2.000

Conclusion: The value of t is less than critical value of t. Hence we can conclude that it is not significant.

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