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Question
A start-up cell phone applications company is interested in determining whether house-hold incomes are different for subscribers to three different service providers. A random sample of 25 subscribers to each of the three service providers was taken, and the annual household income for each subscriber was recorded. The partially completed ANOVA table for the analysis is shown here:
Complete the ANOVA table by filling in the missing sums of squares, the degrees of freedom for each source, the mean square, and the calculated F-test statistic.
A) Between Groups df = 2, Within Groups df = 74, SSW = 6,322,592,933, MSB = 1,474,542,579,
MSW = 87,813,791, F = 16.79
B) Between Groups df = 2, Within Groups df = 72, SSW = 6,322,592,933, MSB = 1,474,542,579,
MSW = 87,813,791, F = 16.79.
C) Between Groups df = 2, Within Groups df = 72, SSW = 6,322,592,933, MSB = 1,474,542,579,
MSW = 87,813,791, F = 9.73
D) Between Groups df = 2, Within Groups df = 72, SSW = 6,322,592,933, MSB = 87,813,791,
MSW = 87,813,791, F = 16.79
Answer
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A) Because t = -2.69 is less than -2.3456, do not reject H0
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C) Because t = -1.69 is less than -0.8712, reject H0
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D) Because t = -1.69 is less than -0.8712, do not reject H0
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