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.
|
|
Light
|
Heavy
|
|
|
Nonbrowser
|
Browser
|
Browser
|
|
|
6 |
5 |
9 |
|
|
7 |
6 |
11 |
|
|
8 |
5 |
9 |
|
|
5 |
4 |
11 |
|
|
5 |
7 |
8 |
|
|
6 |
4 |
10 |
|
|
7 |
6 |
9 |
|
|
6 |
5 |
11 |
|
a.
Use 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).
Sum of Squares, Treatment |
|
Sum of Squares, Error |
|
Mean Squares, Treatment |
|
Mean Squares, Error |
|
Calculate the value of the test statistic (to 2 decimals, if necessary).
The p-value is:
less than .01
between .01 and .025
between .025 and .05
between .05 and .10
greater than .10
What is your conclusion?
Conclude that the mean comfort scores are not all the same for the browser groups
Do not reject the assumption that the mean comfort scores are equal for the browser groups
b.
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).
What is your conclusion?
Conclude that nonbrowsers and light browsers have different mean comfort scores
Cannot conclude that nonbrowsers and light browsers have different mean comfort scores