Data set: Games2 

a. Conduct a t-test to determine if there is a difference in mean completion time between ColorLeft and StandardLeft. Report the p-value and your conclusions based on an individual α-level = 0.05. 

b. Conduct a t-test to determine if there is a difference in mean completion time between ColorLeft and ColorRight. Report the p- value and your conclusions based on an individual α-level = 0.05. 

c. Conduct a t-test to determine if there is a difference in mean completion time between ColorRight and StandardLeft. Report the p-value and your conclusions based on an individual α-level = 0.05. 

d. List three other t-tests that could test for differences in mean completion time for different levels of Type2. In other words, what combinations of ColorRight, StandardRight, ColorLeft, and Standard Left have not yet been tested? 

e. Assume all six hypothesis tests were compared. If each of these tests are independent and each of the tests used an α-level = 0.05, what is the true probability that at least one of the tests would inappropriately reject the null hypothesis? 

f. What is the individual critical value if you use the Bonferroni method with an overall (family-wise) α-level = 0.10. Do any of your previous conclusions in Parts A through C change if you test for an overall (familywise) comparison? Explain.