An engineer is designing a battery for use in a device that will be subjected to some extreme variations in temperature. The only design parameter that he can select at this point is the plate material of the battery, and he has three possible choices. When the device is manufactured and is shipped to the field, the engineer has no control over the temperature extremes that the device will encounter, and he knows from experience that temperature will probably affect the effective battery life. However, temperature can be controlled in the product development laboratory for the purpose of a test. The engineer decides to test all three material plate materials at three temperature levels 15, 70, 125 F. Four batteries are tested at each combination of plate material and temperature, and all 36 tests are run in random error. Following table presents the effective life (in hours) observed in a battery design. What effects do material type and temperature have on the life of the battery? Use α=0.05. Temperature (F)
Material Type
15
70
125
1
130 155
74 180
34 40
80 75
20 70
82 58
2
150 188
159 126
136 122
106 115
25 70
58 45
3
138 110
168 160
174 120
150 139
96 104
82 60
A. Reject H0 for the effects of material type.
Reject H0 for the effects of temperature.
There is a significant effect of material types and temperature.
Reject H0 for interaction. There is a significant interaction between material types and temperature.
B. Fail to reject H0 for the effects of material type.
Reject H0 for the effects of temperature.
There is a significant effect of temperature but not material types.
Reject H0 for interaction. There is a significant interaction between material types and temperature.
C. Reject H0 for the effects of material type.
Fail to reject H0 for the effects of temperature.
There is a significant effect of material types but not temperature.
Reject H0 for interaction. There is a significant interaction between material types and temperature.
D. Fail to reject H0 for the effects of material type.
Fail to reject H0 for the effects of temperature.
There is no significant effect of temperature or material types.
Reject H0 for interaction. There is a significant interaction between material types and temperature.