Exam 15: Analysis of Variance

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a two-factor ANOVA without replication are displayed below: ANOVA: Two-Factor Without Replication SUMMARY ANOVA -Is there sufficient evidence to reject H₀ that the average between different regions is the same?

In an ANOVA analysis with K number of groups,H number of blocks,and m number of observations per cell,the degree of freedom for SSG is given by K - 1.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A marketing manager is considering adopting one of three new marketing schemes.He chooses three sales people in each region,and has them try the new schemes.He then records the resulting sales as shown below. -Test at the 10% level of significance the null hypothesis that the population mean sales are the same for the three marketing schemes.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider a two-way analysis of variance with one observation per cell and randomized blocks with the following results: -Test the hypotheses that between-group means are equal.Use α = 0.05.

In a two-way ANOVA analysis with more than one observation per cell,the F ratio for the error cannot be calculated.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: In a two-way ANOVA,there are 5 groups,3 blocks,and two observations per cell. -The number of degrees of freedom for between groups is:

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A random sample of 10 observations was selected from each of four populations.A partial one-way ANOVA table is shown below: -How many groups were in this study?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A consumer group wanted to examine how long different life bulbs last.They selected three different light bulbs (60 watt,75 watt and 100 watt)from four different manufacturers.They generated the following statistics from the data. -What is the value of "D"?

The value for F_12,5,0.05 in a two-way ANOVA is found to be 5.06.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: The results of a two-factor ANOVA without replication are displayed below with missing values,identified by "A" through "G." ANOVA: Two-Factor Without Replication SUMMARY ANOVA -What value should replace "A"?

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: A marketing manager is considering adopting one of three new marketing schemes.He chooses three sales people in each region,and has them try the new schemes.He then records the resulting sales as shown below. -Test at the 10% level of significance the null hypothesis that the population mean sales are the same for the four regions.

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION: Consider the following analysis of variance table: -What are the appropriate null and alternative hypotheses?