Numeric results for several independent-samples t tests are presented here. Deci

Question

Numeric results for several independent-samples t tests are presented here. Decide whether each test is statistically significant, and report each result in the standard APA format. A total of 73 people were studied, 40 in one group and 33 in the other group. The test statistic was calculated as 2.13 for a two-called test with a p level of 0.05. One group of 23 people was compared to another group of 18 people. The t statics obtained for their data was l.77.Assume you were performing a two-tailed test with a p level of 0.05. One group of nine mice was compared to another group of six mice, using a two-tailed test at a level of 0.01. The test statistic was calculated as 3.02.

Explanation / Answer

(a)

Here, degress of freedom = 73-1 = 72

Using the t-table, we see that the two tailed t-statistic score for p=0.05 having d.o.f. = 72 is : t = +/- 1.9934

Since 2.13 falls outside this region, so null hypothesis has to be rejected. Thus the test is statistically significant.

(b)

Total sample size = 23+18 = 41

So, degress of freedom = 41-1 = 40

Using the t-table, we see that the two tailed t-statistic score for p=0.05 with d.o.f. = 40 is : t = +/- 2.021

Since 1.77 falls within this region, so null hypothesis can't be rejected. Thus the test is statistically insignificant.

(c)

Total sample size = 9+6 = 15

So, degress of freedom = 15-1 = 14

Using the t-table, we see that the two tailed t-statistic score for p=0.01 with d.o.f. = 14 is : t = +/- 2.9768

Since 3.02 falls outside this region, so null hypothesis has to be rejected. Thus the test is statistically significant.

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