A researcher is testing to see if there is a difference in the average per-pupil costs for private school tuition for three counties in the Portland, Oregon, metro area. Assume tuition costs are normally distributed. The following table shows random samples for the per-pupil costs for private school tuition in thousands of dollars. Software was used to conduct a one-way ANOVA to determine if the means are equal using � = 0.05.   Sample Mean Sample Size Clackamas County 15.20059 17 Multnomah County 14.12714 14 Washington County 14.18455 11

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A researcher is testing to see if there is a difference in the average per-pupil costs for private school tuition for three counties in the Portland, Oregon, metro area. Assume tuition costs are normally distributed. The following table shows random samples for the per-pupil costs for private school tuition in thousands of dollars.

Software was used to conduct a one-way ANOVA to determine if the means are equal using � = 0.05.

  Sample Mean Sample Size
Clackamas County 15.20059 17
Multnomah County 14.12714 14
Washington County 14.18455 11

ANOVA Table:

  SS df MS F p-value
Between 11.1381 2 5.5691 6.2037 0.004579
Within 35.0099 39 0.8977    
Total 46.148        

a.

What is the Bonferroni test statistic between groups 1 & 2? 

What is the p-value for the Bonferroni test between groups 1 & 2? 

b.

What is the Bonferroni test statistic between groups 1 & 3? 

What is the p-value for the Bonferroni test between groups 1 & 3? 

c.

What is the Bonferroni test statistic between groups 2 & 3? 

What is the p-value for the Bonferroni test between groups 2 & 3? 

distributed. The following table shows random samples for t
tuition in thousands of dollars.
BORD
Clackamas Multnomah
100
14.91
14.24
15.06
14.91
15.74
15.73
15.12
15.32
14.68
15.58
14.39
15.29
15.16
14.9
15.34
16.09
15.95
P
▬▬▬▬▬▬▬
MEN
13.93
11.68
15.54
14.7
15.33
15.84
14.24
13.95
14.63
12.93
16.08
14.33
11
13.6
Washington
-1|||||
13.56
14.39
13.72
14.68
14.49
13.79
14.74
13.83
14.97
13.75
14.11
Software was used to conduct a one-way ANOVA to determine
0.05.
Transcribed Image Text:distributed. The following table shows random samples for t tuition in thousands of dollars. BORD Clackamas Multnomah 100 14.91 14.24 15.06 14.91 15.74 15.73 15.12 15.32 14.68 15.58 14.39 15.29 15.16 14.9 15.34 16.09 15.95 P ▬▬▬▬▬▬▬ MEN 13.93 11.68 15.54 14.7 15.33 15.84 14.24 13.95 14.63 12.93 16.08 14.33 11 13.6 Washington -1||||| 13.56 14.39 13.72 14.68 14.49 13.79 14.74 13.83 14.97 13.75 14.11 Software was used to conduct a one-way ANOVA to determine 0.05.
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