Thirty identical flashlights were loaded with newly purchased alkaline AA batteries. Ten of them contained Duracell, ten contained Energizer, and ten contained Rayovac brand batteries. The flashlights were turned on and placed on a bookshelf where a time-lapse video camera captured how long (in minutes) each beam of light lasted. These times are displayed in the following table. Brand Time (in minutes) of Flashlight Continuous Use with New Alkaline AA Batteries Duracell 244 241 236 239 240 237 243 251 245 232 Energizer 231 240 236 243 246 249 238 247 236 240 Rayovac 178 184 185 167 183 191 166 185 171 182 Use a 0.01 level of significance to conduct a hypothesis test to establish if the mean length of continuous use for this flashlight is equivalent when using either Duracell, Energizer, or Rayovac brand alkaline AA batteries.
Thirty identical flashlights were loaded with newly purchased alkaline AA batteries. Ten of them contained Duracell, ten contained Energizer, and ten contained Rayovac brand batteries. The flashlights were turned on and placed on a bookshelf where a time-lapse video camera captured how long (in minutes) each beam of light lasted. These times are displayed in the following table. Brand Time (in minutes) of Flashlight Continuous Use with New Alkaline AA Batteries Duracell 244 241 236 239 240 237 243 251 245 232 Energizer 231 240 236 243 246 249 238 247 236 240 Rayovac 178 184 185 167 183 191 166 185 171 182 Use a 0.01 level of significance to conduct a hypothesis test to establish if the mean length of continuous use for this flashlight is equivalent when using either Duracell, Energizer, or Rayovac brand alkaline AA batteries.
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Transcribed Image Text:### Experiment on the Duration of Flashlights with Different Battery Brands
A study was conducted to determine the performance of three brands of alkaline AA batteries when used in identical flashlights. Each set of ten flashlights was equipped with new batteries from one of the following brands: Duracell, Energizer, or Rayovac. The flashlights were operated continuously, and their duration of use (measured in minutes) was recorded using a time-lapse video camera. The results are shown in the table below:
#### Table: Time (in minutes) of Flashlight Continuous Use with New Alkaline AA Batteries
| Brand | Time (minutes) |
|-----------|--------------------------------------------------------|
| Duracell | 244, 241, 236, 239, 240, 237, 243, 251, 245, 232 |
| Energizer | 231, 240, 236, 243, 246, 249, 238, 243, 246, 240 |
| Rayovac | 178, 184, 185, 167, 183, 191, 166, 185, 171, 182 |
The objective is to conduct a hypothesis test to determine if there is a significant difference in the mean duration of flashlight use across the three battery brands. The level of significance for the test is set at 0.01.
This analysis will help confirm whether the mean duration of continuous use is equivalent for Duracell, Energizer, and Rayovac alkaline AA batteries, or if one brand demonstrates superior performance.
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