I. Practicing with the t-Table For each of the obtained...

I. Practicing with the t-Table For each of the obtained t-values given below, determine the t-critical value and decide if H0 should be rejected. df ? level One or two-tailed test tobt tcrit Reject H0 Y/N A. 11 .01 two-tailed 4.32 B. 80 .05 two-tailed 1.04 C. 24 .05 one-tailed 2.18 D. 24 .01 one-tailed 2.18 E. 42 .05 one-tailed 1.87 F. 42 .05 two-tailed 1.87 G. 19 .01 two-tailed 3.06 H. 19 .001 two-tailed 3.06

Transcript

00:01 Alright, so in the given question, we have been provided the t statistic values and we have been asked to compute the t critical value and decide if the null hypothesis would be rejected or not.

00:13 Now for the first part, the degrees of freedom is 11, alpha is 0 .01.

00:25 The type of test, it is a two -tail test where the t obtained value is 4 .3 .1.

00:33 So here we have to determine the critical value and provide our the decision that is to reject null hypothesis yes or no right now for this one the critical value this will corresponds to the value of t alpha by two for the given degrees of freedom right and this is equal to 3 .11 now in this case the obtained value is greater than the value so we will be the decision is that we will reject the null hypothesis right now next here the degrees of freedom is 80 alpha is 0 .05 again it's a two -tail test the obtained value is 1 .04 and here the critical value will be 1 .99 so in this case the critical value is greater so we will not reject the null hypothesis in the next case, degrees of freedom 24, alpha .05, it's a one -tail test where the obtained value is 2 .18 and the critical value is 1 .71.

01:53 So here the test statistic is greater, so we will reject the null hypothesis, right? next, the degrees of freedom is 24, alpha is 0 .01.

02:07 It's a one -tail test.

02:09 Where the test statistic value is 2 .1 so this is 2 .18 again so here the critical value will be 2 .49 now in this case the critical value is greater so we will not reject the null hypothesis in the next case the degrees of freedom is 42 alpha is 0 .05 it's a one tail test with obtained value is 1 .87...

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