Repeat Exercise 2, but this time compare Kirk Hall to Dupre Hall, and conduct only a one-tailed test at the .05 level, assuming that Kirk will have the larger mean.

Data from exercise 2

Repeat the previous exercise, except that this time compare Turck Hall to Dupre Hall. Would the t value based on the separate-variances formula (7.8) be smaller or larger than the pooled-variances t value?

Data from previous exercise

Use the two-sample t test to determine whether the difference in means between Turck and Kirk Halls is significant at the .05 and .01 levels, two-tailed. Given your decision with respect to the null hypothesis, which type of error could you be making: Type I or Type II? Report the results of your t test in a sentence that includes the means of the two dormitories and a measure of the effect size. Compute both the 95% and 99% confidence intervals for the difference of the two population means. Explain how the presence or absence of zero in each of those CIs is consistent with your decision regarding the null hypothesis at the .05 and .01 levels.