In order to compare the life expectancies of three different brands of printers, eight printers of each brand were randomly selected. Part of the resulting Analysis of Variance table is presented below: Source of Variation Sum of squares Degrees of freedom Mean square F-statistic p-value Printer Brand ? 2 ? ? 0.0081 Error 770 ? ? Total 1218 23 We are interested in comparing the mean life expectancies for the three brands of printer using a significance level α = 0.05 . c. Given the p-value provided in the Analysis of Variance table, decide whether to reject H0 in favour of Ha or to fail to reject H0. d. Based on your decision in part (c), write your conclusion for the test in the context of the situation. Be specific.
In order to compare the life expectancies of three different brands of printers, eight
printers of each brand were randomly selected. Part of the resulting Analysis of Variance table is presented below:
|
Source of Variation |
Sum of squares |
Degrees of freedom |
Mean square |
F-statistic |
p-value |
|
Printer Brand |
? |
2 |
? |
? |
0.0081 |
|
Error |
770 |
? |
? |
|
|
|
Total |
1218 |
23 |
|
|
|
We are interested in comparing the mean life expectancies for the three brands of printer using a significance level α = 0.05 .
c. Given the p-value provided in the Analysis of Variance table, decide whether to reject H0 in favour of Ha or to fail to reject H0.
d. Based on your decision in part (c), write your conclusion for the test in the context of the situation. Be specific.
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