You conduct a two-sided hypothesis test for the difference between two means based on a matched pairs comparison between two data sets of size 15, and get a tvalue of 2.55. Which of the following is true for this test?
A. You need to know the sample standard deviations in order to answer this question.
B. This finding is significant at both the .05 and the .01 levels.
C. This finding is significant at the .01 level but not at the .05 level.
D. This finding is significant at the .05 level but not at the .01 level.
E. This finding is significant at neither the .05 nor the .01 levels.
B. This finding is significant at both the .05 and the .01 levels.
This is because a t-value of 2.55 falls outside the critical values for both the .05 and .01 levels for a two-tailed t-test with 14 degrees of freedom (n-1 = 15-1 = 14).