Prices for vitamins and other health supplements increased over the past several
ID: 3217219 • 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. Item CVS Kmart Rite-Aid Wegmans Caltrate +D (600mg 60 tablets) 8.49 5.99 7.99 5.99 Centrum (130 tablets) 9.49 9.47 9.89 7.97 Cod liver oil (100 gel tablets) 2.66 2.59 1.99 2.69 Fish oil (1.000 mg. 60 tablets) 6.19 4.99 4.99 5.99 Flintstones Children's (60 tablets) 7.69 5.99 5.99 6.29 Folic acid (400 mcg/250 tablets) 2.19 2.49 3.74 2.69 One-a-Day Maximum (100 tablets) 8.99 7.49 6.99 6.99 One-a-Day Scooby (50 tablets) 7.49 5.99 6.49 5.47 Poly-Vi-Sol (drops. 50 ml.) 9.99 8.49 9.99 8.37 Vitamin B-12(100 meg/1.00tablets) 3.59 1.99 1.99 1.79 Vitamin C (500 mg/100tablets) 2.99 2.49 1.99 2.39 Vitamin K (200 IU/100tablets) 4 69 3.49 2 99 3.29 Zinc (50 mg/100 tablets) 2.66 2.59 3.99 2.79 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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