In: Statistics and Probability
Problem 3.26.
Three brands of batteries are under study. It is suspected that the lives (in weeks) of the three brands are different. Five randomly selected batteries of each brand are tested with the following results:
Weeks of Life |
||
Brand 1 |
Brand 2 |
Brand 3 |
100 |
76 |
108 |
96 |
80 |
100 |
92 |
75 |
96 |
96 |
82 |
100 |
92 |
82 |
100 |
a) Are the lives of these brands of batteries different?
b) Analyze the residuals from this experiment.
c) Construct a 95 percent confidence interval estimate on the mean life of battery brand 2. Construct a 99 percent confidence interval estimate on the mean difference between the lives of battery brands 2 and 3.
d) Which brand would you select for use? If the manufacturer will replace without charge any battery that fails in less than 85 weeks, what percentage would the company expect to replace?