1.A researcher is interested in the effect of the "super smarty pants" pill on college students learning statistics. She randomly assigns a group of students to either the treatment or control group. The treatment group (n = 30) receives the "super smarty pants pill" and the control group (n = 25) receives a placebo (sugar pill). Both groups are given a statistics exam and the mean score for the treatment group is 59, with a SS = 1467. The mean score for the control group is 46 with a SS =1218.

a. Calculate the pooled variance

b. Calculate the SE difference

c. Calculate the t value

d. What is your tcrit? (Assume this is a 2-tailed test using the alpha level of .05 (i.e., p<.05)).

e. Does taking the smarty pills result in a significant difference in exam scores?

Provide your answer in a way that someone who has never taken statistics would understand. Provide your answer in A. P. A. style.

2. Using the example from the independent t-test lecture please answer the below questions.

a. What if we kept the same means and sums of squares but we changed our sample size to the following? Women: n = 40 Men: n = 55

b. Calculate a new pooled variance. (Can you show me the work so I can get it)

c. Calculate a new SE difference (Can you show details on how to get to the answer)

d. Calculate a new t value (show all of your work here and use the method noted in the lecture).

e. What is your tcrit? (Assume this is a 2-tailed test using the alpha level of .05 (i.e., p<.05)).

f. Is there a significant difference between women and men on pain tolerance?

Provide your answer in a way that someone who has never taken statistics would understand in A. P A style g. How did increasing our sample alter our SE and t?