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General Electric recently conducted a study to evaluate filaments in their industrial high intensity bulbs. Investigators...

General Electric recently conducted a study to evaluate filaments in their industrial high intensity bulbs. Investigators recorded the number of weeks each high-intensity bulb would last before failure for three test filaments (Groups 1, 2, and 3) and the 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 in means of the four groups (null and alternative).
  2. Read the data into R or R-studio, run an ANOVA model in R and paste the code used as well as the output here. What is the decision based on the ANOVA test? You need to explain what part of the output led you to the conclusion you made.
  3. Continue using R: Use the Tukey method to test all pairwise contrasts. Show the R code, output, and explain the results of all the comparisons in complete sentences while referencing the parts/numbers on the output that support your conclusions.

WRITE ALL THE CODE USED THE R or R-STUDIO!

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