General Electric recently conducted a study to evaluatefilaments in their industrial high intensity bulbs. Investigatorsrecorded the number of weeks each high-intensity bulb would lastbefore failure for three test filaments (Groups 1, 2, and 3) andthe standard filament (Group 4). The results are as follows. Using? = 0.01,

Group       1          2       3        4

                 15       14     25     28

                 18       18     19     31

                 21       20     22     27

                 16       16     20     32

                 17       15     18     23

                 20       16     24     25

                18         22     27     30

                              14    18     27     

                                      24     25

                                               26

1. Write an appropriate ANOVA hypothesis to test the difference inmeans of the four groups (null and alternative).
2. Read the data into R or R-studio, run an ANOVA model in R andpaste the code used as well as the output here. What is thedecision based on the ANOVA test? You need to explain what part ofthe output led you to the conclusion you made.
3. Continue using R: Use the Tukey method to test all pairwisecontrasts. Show the R code, output, and explain the results of allthe comparisons in complete sentences while referencing theparts/numbers on the output that support your conclusions.