A random sample of 38 graduates was selected and asked for t

A random sample of 38 graduates was selected and asked for their annual income major. The ANOVA comparing the average income among three general discipline categores rejected the null hypothesis. The Mean Square Error (MSE) was 24.182. The following table summarized the results:

When comparing the mean annual incomes for graduates in Business with those in Science/Math, the 95% confidence interval shows an interval of -8.61 to -0.46 for the difference. This result indicates that

Solution

As the confidence interval (-8.61 to -0.46) DOES NOT include 0, then this indicates:

OPTION A: There is a significant difference between the two incomes. [Very little reason to believe that the difference is 0, that is.]