For the following set of data produced in an independent samples experiment
experimental group: 23, 34, 45, 34, 37, 38, 25, 42
control group: 11, 35, 19, 42, 27, 18, 27, 15, 21, 19
-6) The difference tested after "The degrees of freedom involved with the t value just found ", using a two-tailed analysis:
A) Is significant with p

Question

For the following set of data produced in an independent samples experiment
experimental group: 23, 34, 45, 34, 37, 38, 25, 42
control group: 11, 35, 19, 42, 27, 18, 27, 15, 21, 19
-6) The difference tested after "The degrees of freedom involved with the t value just found ", using a two-tailed analysis:
A) Is significant with p < .001
B) Is significant with p < .01
C) Is significant with p < .05
D) Is not significant at the 5% level

Quizplus · Accepted Answer

Using a two-tailed t-test with unequal variances and degrees of freedom of 14.93, a t-value of 2.23 is obtained. Consulting a t-distribution table with 14 degrees of freedom at a 5% level of significance, the critical t-value is 2.145. Since the obtained t-value (2.23) is greater than the critical t-value (2.145), the null hypothesis (no difference between the means of the two groups) is rejected. Therefore, the difference tested is significant at the 5% level (p < .05).

For the Following Set of Data Produced in an Independent