Exam 12: Analysis of Variance

Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results: At the 5% level of significance, what is the decision regarding the null hypothesis?

If an ANOVA test is conducted and the null hypothesis is rejected, what does this indicate?

The shape of the F distribution is _____________________.

The annual dividend rates for a random sample of 16 companies in three different industries, utilities, banking, and insurance were recorded. The ANOVA comparing the mean annual dividend rate among three industries rejected the null hypothesis that the dividend rates were equal. The mean square error (MSE) was 3.36. The following table summarized the results: Based on the comparison between the mean annual dividend rate for companies in the utilities and insurance industries, _______________________.

In an ANOVA problem involving three treatments and 12 observations per treatment, SSE = 297. The MSE for this scenario is _____.

A manufacturer of automobile transmissions uses three different processes. Management ordered a study of the production costs to see if there is a difference among the three processes. A summary of the findings is shown next. In an ANOVA table, what are the degrees of freedom for the treatment source of variation?

The college of business was interested in comparing the interaction of academic status and class time on class attendance. Three different classes were sampled for each cell in the table. The means for each cell follow. What are the total degrees of freedom?

An ANOVA procedure is applied to data obtained from four distinct populations. The samples, each comprised of 15 observations, were taken from the four populations. The degrees of freedom for the numerator and denominator for the critical value of F are:

A sum of squares divided by its corresponding degrees of freedom is called a ________________.

A two-way ANOVA with interaction has how many sources of variation?

An ANOVA showed the following comparison of four treatment means. Which treatment means are significantly different?

The human resources department of a software company encourages their employees to participate in a wellness program. They sampled 16 employees, 2 males and 2 females from four different workout routines and measured their peak heart rate. The ANOVA for the research follows. What is the F-statistic for Gender?

An experiment to determine the most effective way to teach safety principles applied four different teaching methods. Some employees were given programmed instruction booklets and worked through the course at their own pace. Other employees attended lectures. A third group watched a television presentation, and a fourth group was divided into small discussion groups. A high of 10 was possible. A sample of five tests was selected from each group. The test grade results were: At the 0.01 level, what is the critical value?

The college of business was interested in comparing the attendance for three different class times for a business statistics class. The data follow. What are the block and treatment degrees of freedom?

Given the following ANOVA table for three treatments each with six observations: What are the degrees of freedom for the treatment and error sources of variation?

The following partial ANOVA table was derived from data having four treatments and a total of 16 observations. The mean square between treatments (MST) is _______.

An F statistic is __________.

Two accounting professors decided to compare the variance of their grading procedures. To accomplish this, they each graded the same 10 exams, with the following results: What is the critical value of F at the 0.05 level of significance?

In a study of protein breakfast bars, five bars from each of three brands were tested to see if the mean amount of protein per bar differs among the brands. To select a critical F-statistic, the number of degrees of freedom for the denominator is _____.

The human resources department of a software company encourages their employees to participate in a wellness program. They sampled 16 employees, 2 males and 2 females from four different workout routines and measured their peak heart rate. The ANOVA for the research follows. What is the Workout mean square?