This exercise is based on the following data set: 68.36, 15.31, 77.42, 84.00, 76.59, 68.43, 72.41, 83.05, 91.07, 80.62, 77.83.

a. Perform a t test in order to decide whether you can reject the null hypothesis of μ = 52.3 at the .01 level (two-tailed) for these data.

b. Redo your t test in part (a) for a null hypothesis of μ = 85.0.

c. Compute the 99% CI for the population mean from which these data were drawn. Explain how this CI could be used to draw conclusions about the null hypotheses in parts (a) and (b).