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Multiple Choice Quiz
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Chapter 9 Quiz - Analysis of Variance



1

In ANOVA with 4 groups and a total sample size of 65, the computed F statistic is 2.53. In this case, the p-value is:
A)exactly 0.05
B)much less than 0.05
C)much greater than 0.05
D)cannot tell - it depends on what the SSE is
E)none of the above
2

Analysis of Variance (ANOVA) is a test for equality of:
A)variances
B)means
C)proportions
D)only two parameters
E)none of the above
3

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.

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070620164/235037/ref9_5.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (10.0K)</a>
R-1 Ref 9-5

Compute the mean square for the treatment, store.

A)54.25
B)144.50
C)6.68
D)43.4
E)none of the above
4

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.

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070620164/235037/ref9_5.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (10.0K)</a>
R-1 Ref 9-5

Compute the F ratio for the interaction.

A)6.68
B)5.26
C)17.795
D)8.12
E)none of the above
5

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.

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070620164/235037/ref9_5.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (10.0K)</a>
R-1 Ref 9-5

How many degrees of freedom does SSE have?

A)15
B)899
C)900
D)885
E)none of the above
6

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.

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070620164/235037/ref9_5.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (10.0K)</a>
R-1 Ref 9-5

At α = 0.05, is there interaction?

A)yes
B)no
C)insufficient information to determine
D)some
E)none of the above
7

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:

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070620164/235037/ref9_7.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (9.0K)</a>
R-2 Ref 9-7

How many degrees of freedom are associated with the sum of squares for treatments?

A)3
B)4
C)5
D)23
E)none of the above
8

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:

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070620164/235037/ref9_7.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (9.0K)</a>
R-2 Ref 9-7

State the null hypothesis for this ANOVA.

A)H0: μ1 - μ2 - μ3 - μ4 ≥ 0
B)H0: all of the population means are different
C)H0: at least one of the population means is different
D)H0: μ1 = μ2= μ3= μ4
E)none of the above
9

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:

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070620164/235037/ref9_7.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (9.0K)</a>
R-2 Ref 9-7

If the p-value for this ANOVA is 0.117, what is the conclusion, testing at α = 0.05?

A)reject the null hypothesis
B)do not reject the null hypothesis
C)not enough information to make a decision
D)at least one of the population means is significantly different
E)none of the above
10

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:

<a onClick="window.open('/olcweb/cgi/pluginpop.cgi?it=jpg::::/sites/dl/free/0070620164/235037/ref9_7.jpg','popWin', 'width=NaN,height=NaN,resizable,scrollbars');" href="#"><img valign="absmiddle" height="16" width="16" border="0" src="/olcweb/styles/shared/linkicons/image.gif"> (9.0K)</a>
R-2 Ref 9-7

Construct a 95% confidence interval on the population mean of the Finance department.

A)3.333 ± (1.725)(1.033/6)
B)3.333 ± (2.571)(1.033/2.449)
C)3.333 ± (1.725)(1.033/2.449)
D)3.333 ± (2.086)(1.033/2.449)
E)none of the above
11

In an ANOVA, we find that the p-value is 0.003. We therefore conclude that:
A)there is no statistical evidence that any population mean is different from any other
B)no two population means are equal
C)no two variances are equal
D)the null hypothesis should be accepted
E)there is strong statistical evidence that not all the population means are equal
12

When all members of every block are randomly assigned to all treatments, the design is called:
A)repeated measures design
B)Tukey design
C)Latin square design
D)one-way ANOVA
E)randomized complete block design





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