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Chapter 9 Quiz - Analysis of Variance
A company is interested in testing customer satisfaction with five department stores that it owns. They are also interested in determining whether or not differences exist in the average consumer satisfaction with the three main departments within each store: sportswear, formalwear and businesswear. Fifteen groups of 60 randomly chosen consumers are assigned to each combination cell. The results are analyzed with a two-way ANOVA, shown below.
Compute the mean square for the treatment, store.
Compute the F ratio for the interaction.
How many degrees of freedom does SSE have?
At α = 0.05, is there interaction?
The management of an organization wants to test to see whether the rate of turnover of employees is the same in all the departments. Samples over the last year show the following as the number of employees having left the company:
Production: 5, 6, 3, 4, 6, 6 Marketing: 3, 4, 4, 4, 3, 5 Finance: 3, 3, 3, 2, 4, 5 Accounting: 2, 3, 3, 5, 6, 4
The ANOVA table is shown below:
How many degrees of freedom are associated with the sum of squares for treatments?
State the null hypothesis for this ANOVA.
If the p-value for this ANOVA is 0.117, what is the conclusion, testing at α = 0.05?
Construct a 95% confidence interval on the population mean of the Finance department.