1. Because the data is categorical, the correct procedure to test whether or not

Question

1. Because the data is categorical, the correct procedure to test whether or not the mean GPAs are equal for Freshmen, Sophomores, Juniors, and Seniors would be a Chi-Square goodness of fit test.

3. In a one-way ANOVA problem, the grand mean is the average of the means of the different treatment groups.

6.Accepting the book notation, in one-way ANOVA, SSA + SSE = SS(total); degrees of freedom treatment + degrees of freedom error = degrees of freedom total; and MSA + MSE = MS(total).

8. In a one-way ANOVA, the variation in the response variable is decomposed into variation within the treatments and variation due to random chance (sampling error).

9. If the null hypothesis in ANOVA is not true, the MSE, a measure of the variability in the data will become large and that will increase the size of the test statistic, making the null hypothesis likely to be rejected.

Explanation / Answer

1) False as to test mean chi-sqaure test is not used

3) True as grand mean is mean of all observation and also equal mean of means

6) False as MSA + MSE is not equal to MS(total).

8) True as this is the methods used in ANOVA.

9) False as if null is not true the MSA will be higher than MSE

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