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# Analysis of variance problems

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CHP 12 #37

The city of Tucson, Arizona, employs people to assess the value of homes for the purpose of establishing real estate tax. The city manager routinely sends each assessor to five homes and then compares the results.

Assessor
home Zawodny Norman Cingle Holiday
A
\$53.0
\$55.0
\$49.0
\$45.0

B
50.0
51.0
52.0
53.0

C
48.0
52.0
47.0
53.0

D
70.0
68.0
65.0
64.0

E
84.0
89.0
92.0
86.0

A. Is there a difference in the treatment means?
B. Is there a difference in the block means?

CHP 12 # 36
There are four McBurger restaurants in the Columbus, Georgia, area. The numbers of burgers sold at the respective restaurants for each of the last six weeks are shown below. At the .05 significance level is there a difference in the mean number sold among the four restaurants, when the factor of week is considered?

Restaurant
Week Metro Interstate University River
1
124
160
320
190

2
234
220
340
230

3
430
290
290
240

4
105
245
310
170

5
240
205
280
180

6
310
260
270
205

A. Is there a difference in the treatment means?
B. Is there a difference in the block means?

CHP 12 #46
Refer to the Baseball 2002 data, which reports information on the 30 Major League Baseball teams for the 2002 season.

A. At the .10 significance level, is there a difference in the variation of the number
of stolen bases among the teams that play their home games on natural grass versus on artificial turf?

B. Create a variable that classifies a team's total attendance into three groups: less than 2.0 (million), 2.0 up to 3.0, and 3.0 or more. At the .05 significance level, is there a difference in the mean number of games won among the three groups? Use the .01 significance level.