The following data were obtained to test for any significant differences in the mean number of hours between failures for four machines.

Machine 1	Machine 2	Machine 3	Machine 4
6.4 hrs.	8.7	11.1	9.9
7.8	7.4	10.3	12.8
5.3	9.4	9.7	12.1
7.4	10.1	10.3	10.8
8.4	9.2	9.2	11.3
7.3	9.8	8.8	11.5

(1) The appropriate procedure for the analysis should be:

(2) The appropriate null hypothesis, , for deciding if the type of Machine matters or not in performance would be:

(3) The appropriate alternate hypothesis, H_a,for deciding if the type of Machine matters or not in performance would be:

(4) Using the appropriate results from MegaStat, test the hypotheses from questions (3) and (4) using a level of significance of 0.05.

(5) What would be the result of incorrectly comparing all possible pairs of means using a two-sample hypothesis testing procedure when really an ANOVA procedure is more appropriate?

(6) Should the mean time between failures for Machine 2 be considered significantly different from the mean time between failures Machine 4? Use an alpha of 0.05.

(7) Do any of the machines appear to be the best?