In: Math
1. a. Assume that Data Set A depicts the scores of 10 subjects who received either Treatment 1 or Treatment 2. Calculate a t-test for independent means to determine whether the means are significantly different from each other. In your complete answer, remember to include your t-statistic, critical value, and your decision about whether to reject the null hypothesis. For this question, you should assume that different participants received the two different treatments.
b. Now assume that Data Set A depicts the scores of five subjects who received both Treatment 1 and Treatment 2. Calculate a t-test for dependent means to determine whether the means for the two treatments were significantly different. The correlation between the two treatments is +1.00. In your complete answer, remember to include your t-statistic, critical value, and your decision about whether to reject the null hypothesis. For this question, you should assume that the same participants received each of the two treatments.
Data set A:
Treatment 1 |
Treatment 2 |
45 |
60 |
50 |
70 |
55 |
80 |
60 |
90 |
65 |
100 |
Please provide full and detailed answer, and please do not use excel or other programs, rather just answer using the formulas etc.
Thank you very much! :)