In a study conducted to investigate browsing activity by shoppers, each shopper
ID: 3257416 • Letter: I
Question
In a study conducted to investigate browsing activity by shoppers, each shopper was initially classified as a nonbrowser, light browser, or heavy browser. For each shopper, the study obtained a measure to determine how comfortable the shopper was in a store. Higher scores indicated greater comfort. Suppose the following data were collected.
Use = .05 to test for a difference among mean comfort scores for the three types of browsers.
Compute the values identified below (to 2 decimals, if necessary).
Calculate the value of the test statistic (to 2 decimals, if necessary).
Use Fisher's LSD procedure to compare the comfort levels of nonbrowsers and light browsers. Use = .05.
Compute the LSD critical value (to 2 decimals).
Explanation / Answer
Answer:
Use = .05 to test for a difference among mean comfort scores for the three types of browsers.
One factor ANOVA
Mean
n
Std. Dev
3.3
8
1.04
Nonbrowser
6.3
8
1.04
Light
8.8
8
1.16
Heavy
6.1
24
2.52
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
121.33
2
60.667
52.00
7.34E-09
Error
24.50
21
1.167
Total
145.83
23
Compute the values identified below (to 2 decimals, if necessary).
Sum of Squares, Treatment
121.33
Sum of Squares, Error
24.50
Mean Squares, Treatment
60.67
Mean Squares, Error
1.17
Calculate the value of the test statistic (to 2 decimals, if necessary).
F=52.00
Use Fisher's LSD procedure to compare the comfort levels of nonbrowsers and light browsers. Use = .05.
Compute the LSD critical value (to 2 decimals).
t value with 21 df at 0.05 level =2.08
LSD = t*sqrt(MSE(1/n1+1/n2))
=2.08*sqrt(1.167*(1/8+1/8))
=1.12
Mean difference of nonbrowsers and light browsers = 6.3-3.3=3 which is > MSD value 1.12
comfort levels of nonbrowsers and light browsers are significantly different.
One factor ANOVA
Mean
n
Std. Dev
3.3
8
1.04
Nonbrowser
6.3
8
1.04
Light
8.8
8
1.16
Heavy
6.1
24
2.52
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatment
121.33
2
60.667
52.00
7.34E-09
Error
24.50
21
1.167
Total
145.83
23