Question
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
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 =0.05.
A) State the hypotheses for this test.
B) Complete the missing values in the Analysis of Variance table in order to calculate the test statistic.
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), what is your conclusion for the test in the context of the situation. Be specific.
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