As part of an evaluation program, a sporting goods retailer wanted to Compare th
ID: 3149894 • Letter: A
Question
As part of an evaluation program, a sporting goods retailer wanted to Compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below. True or False: Referring to Table 11-3, based on the Turkey-Kramer procedure with an overall level of significance of 0.05, the retailer would decide that there is no significant difference between any pair of mean speeds. True FalseExplanation / Answer
Answer A True
ANOVA and multiple comparison results are given below.
ANOVA is significant and some pair of groups are significant.
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
b
3
132
44
3.0000
t
3
114
38
1.0000
r
3
128
42.66666667
4.3333
s
3
134
44.66666667
2.3333
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
81.3333
3
27.1111
10.1667
0.0042
4.0662
Within Groups
21.3333
8
2.6667
Total
102.6667
11
Level of significance
0.05
Tukey-Kramer Multiple Comparisons
Sample
Sample
Absolute
Std. Error
Critical
Group
Mean
Size
Comparison
Difference
of Difference
Range
Results
1: b
44
3
Group 1 to Group 2
6
0.942809042
4.271
Means are different
2: t
38
3
Group 1 to Group 3
1.333333
0.942809042
4.271
Means are not different
3: r
42.66667
3
Group 1 to Group 4
0.666667
0.942809042
4.271
Means are not different
4: s
44.66667
3
Group 2 to Group 3
4.666667
0.942809042
4.271
Means are different
Group 2 to Group 4
6.666667
0.942809042
4.271
Means are different
Other Data
Group 3 to Group 4
2
0.942809042
4.271
Means are not different
Level of significance
0.05
Numerator d.f.
4
Denominator d.f.
8
MSW
2.666667
Q Statistic
4.53
ANOVA: Single Factor
SUMMARY
Groups
Count
Sum
Average
Variance
b
3
132
44
3.0000
t
3
114
38
1.0000
r
3
128
42.66666667
4.3333
s
3
134
44.66666667
2.3333
ANOVA
Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
81.3333
3
27.1111
10.1667
0.0042
4.0662
Within Groups
21.3333
8
2.6667
Total
102.6667
11
Level of significance
0.05
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