ANOVA Hypotheses Testing
Please provide step- by- step instruction for each of the following.
The manufacturer of batteries is designing a battery to be used in a device that will be subjected to extremes in temperature. The company has a choice of 3 materials to use in the manufacturing process. An experiment is designed to study the life of the battery when it is made from materials A, B, and C and is exposed to temperatures of 15,70, and 125 degrees F. For each combination of material and temperature 4 batteries are tested. The lifetime in hours of the batteries are shown below:
Temperatures
Material A
15°F
130,155,74,180
70°F
34,40,80,75
125°F
20,70,82,58
Material B
15°F
150,188,159,126
70°F
126,122,106,115
125°F
25,70,58,45
Material C
15°F
138,110,168,160
70°F
174,120,150,139
125°F
96,104,82,60
a. Calculate the average life for each of the 3 materials.
b. Calculate the average life for each of the 3 temperatures.
c. Calculate the average life for each of the 9 treatment groups.
d. Plot the 9 treatment means on a graph with temperature factor on the x-axis, and the life of the battery in hours on the y-axis. Use a different color for each of the 3 materials and connect the averages for those of the same material. What do you speculate about the interaction effect based on the graph?
e. Confirm your suspicions by doing a two-way ANOVA and testing to see if there is a significant interaction effect.
f. What material do you recommend to this manufacturer and why?
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- avg_life.pdf
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