Do all the work in SAS:

The file battery.dat (Below) contains information from an experiment recording minutes to discharge of AA batteries by brand and load. The first field contains the brand, where 1 indicates Duracell, 2 Energizer, 3 Rayovac, and 4 Radio Shack. The second field contains the load, where 1.7 is low, 2.0 is medium, and 5.1 is high. The third and final field contains the minutes to discharge. Read the data into SAS, making sure to translate the brand as well as the load, and create an informative title.

1. Perform a two-way ANOVA to see if brand, load, or their interaction are significant in the model.
2. Pick the one that is most significant and run a one-way ANOVA on that one. Check the variances for the groups of data this predictor creates. Is it likely that they are equal?
3. Use Tukeys HSD test to check which levels of the predictor are different. Report your findings.

battery.dat:

1 1.7 101 1 1.7 109 1 2.0 127 1 2.0 115 1 5.1 545 1 5.1 492 2 1.7 120 2 1.7 112 2 2.0 107 2 2.0 142 2 5.1 569 2 5.1 535 3 1.7 122 3 1.7 135 3 2.0 99 3 2.0 144 3 5.1 545 3 5.1 524 4 1.7 106 4 1.7 75 4 2.0 100 4 2.0 77 4 5.1 508 4 5.1 542