In: Math
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
- Write an appropriate ANOVA hypothesis to test the difference in
means of the four groups (null and alternative).
- 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.
- 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!