Need statistics help with a consumer organization
1. A consumer organization wants to know if there is a difference in the price of a particular toy at three different types of stores. The price of the toy was checked in a sample of five discount toy stores, five variety stores, and five department stores. The results are shown below.
Discount toy |
Variety |
Department |
$12 |
15 |
19 |
13 |
17 |
17 |
14 |
14 |
16 |
12 |
18 |
20 |
15 |
17 |
19 |
An ANOVA was run and the results are shown below. At the .05 significance level, is there a difference in the mean prices between the three stores? What is the p-value? Explain why an ANOVA was used to analyze this problem.
One factor ANOVA |
|||||
Mean |
n |
Std. Dev |
|||
13.2 |
5 |
1.30 |
Discount Toys |
||
16.2 |
5 |
1.64 |
Variety |
||
18.2 |
5 |
1.64 |
Department |
||
15.9 |
15 |
2.56 |
Total |
||
ANOVA table |
|||||
Source |
SS |
df |
MS |
F |
p-value |
Treatment |
63.33 |
2 |
31.667 |
13.38 |
.0009 |
Error |
28.40 |
12 |
2.367 |
||
Total |
91.73 |
14 |
Tutor Answer
Review from our student for this Answer
Brown University
1271 Tutors
California Institute of Technology
2131 Tutors
Carnegie Mellon University
982 Tutors
Columbia University
1256 Tutors
Dartmouth University
2113 Tutors
Emory University
2279 Tutors
Harvard University
599 Tutors
Massachusetts Institute of Technology
2319 Tutors
New York University
1645 Tutors
Notre Dam University
1911 Tutors
Oklahoma University
2122 Tutors
Pennsylvania State University
932 Tutors
Princeton University
1211 Tutors
Stanford University
983 Tutors
University of California
1282 Tutors
Oxford University
123 Tutors
Yale University
2325 Tutors