Exam 12: Analysis of Variance

A random sample of 30 executives from companies with assets over $1 million was selected and asked for their annual income and level of education. The ANOVA comparing the average income among three levels of education rejected the null hypothesis. The mean square error (MSE)was 243.7. The following table summarized the results: Based on the comparison between the mean annual incomes for executives with undergraduate and master's degrees or more,________.

What distribution does the F-distribution approach as the sample size increases?

When a blocking effect is included in an ANOVA,the result is a smaller error sum of squares.

In a two-way ANOVA,a blocking variable is used to ________.

A preliminary study of hourly wages paid to unskilled employees in three metropolitan areas was conducted. Seven employees were included from Area A,nine from Area B,and twelve from Area C. The test statistic was computed to be 4.91. What can we conclude at the 0.05 level?

Interaction between two factors occurs when the effect of one factor on the response variable is the same for any value of another factor.

The alternative hypothesis used in ANOVA is H₁: All population means are equal.

In an ANOVA table,k represents the total number of sample observations and n represents the total number of treatments.

To employ ANOVA,the populations should have approximately equal standard deviations.

Three different fertilizers were applied to a field of celery. In computing F,how many degrees of freedom are there in the numerator?

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 null hypothesis?

When testing for differences between treatment means,a confidence interval is computed with ________.

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

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 interaction 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?

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 error source of variation?

The college of business was interested in comparing the attendance for three different class times for a business statistics class. The data follow. What is the blocking variable?

A random sample of 30 executives from companies with assets over $1 million was selected and asked for their annual income and level of education. The ANOVA comparing the average income among three levels of education rejected the null hypothesis. The mean square error (MSE)was 243.7. The following table summarized the results: When comparing the mean annual incomes for executives with undergraduate and master's degrees or more,which of the following 95% confidence interval can be constructed?

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 alternate hypothesis?

An F-statistic is ________.