This exercise is based on the following data set: 1, 3, 6, 0, 1, 1, 2, 1, 4.

a. Perform a t test in order to decide whether you can reject the null hypothesis of μ = 2.5 at the .05 level (two tailed) for these data.

b. Redo your t test in part (a) for a null hypothesis of μ = 6.0.

c. Compute the 95% 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).