Prices for vitamins and other health supplements increased over the past several
ID: 3217227 • Letter: P
Question
Prices for vitamins and other health supplements increased over the past several years, and the prices charged by different retail outlets often vary a great deal. The following data show the prices for 13 products at four retail outlets in Rochester, New York (Democrat and Chronicle, February 13, 2005). Use alpha = .05 to test for any significant difference in the mean price for the four retail outlets. Perform at least two appropriate multiple comparisons test for the significant main effects.Explanation / Answer
Answer:
One factor ANOVA
Mean
n
Std. Dev
5.932
13
2.9112
CVS
4.927
13
2.5296
Kmart
5.309
13
2.8504
Rite AID
4.824
13
2.2945
Wegmans
5.248
52
2.6158
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
9.8016
3
3.26721
0.46
.7099
Error
339.1660
48
7.06596
Total
348.9677
51
H_0: mu_1 = mu_2= mu_3 = mu_4
H1: At least one pair of population means are different
Calculated F=0.46, P=0.7099 which is > 0.05 level of significance.
Ho is not rejected.
The main effect is not significant.
Since ANOVA is not significant, multiple comparisons are not necessary.
One factor ANOVA
Mean
n
Std. Dev
5.932
13
2.9112
CVS
4.927
13
2.5296
Kmart
5.309
13
2.8504
Rite AID
4.824
13
2.2945
Wegmans
5.248
52
2.6158
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
9.8016
3
3.26721
0.46
.7099
Error
339.1660
48
7.06596
Total
348.9677
51
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