In: Statistics and Probability
16. Suppose you run a between-subjects experiment in which 11 subjects are randomly selected from the same parent population. 5 subjects are assigned to the control group and 6 subjects are assigned to the experimental group. The subjects in the experimental group are given an experimental drug that is supposed improve their coordination. After giving the experimental group the drug, you measure the coordination of all 11 subjects on a scale for which a higher score means better coordination. The coordination scores for 5 subjects in the control group are 49, 53, 67, 81, 43. The coordination scores for the 6 subjects in the experimental group are 58, 63, 92, 80, 67, 74. What are the degrees of freedom for the control group, and the experimental group, as well as the total degrees of freedom for this analysis.
17. What is the value of the pooled variance for the problem described in Question 16?
18. What is the value of sdifferrence for the data in Question 16?
19. Calculate the t statistic for the data in Question 16.
20. Does your t statistic allow you to reject that the null hypothesis that the drug had no effect in favor of your experimental hypothesis that the drug improves coordination at an alpha level of 0.05? What about at an alpha level of 0.01?