In: Statistics and Probability
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 | ||
| 5 | 4 | 6 | ||
| 6 | 5 | 8 | ||
| 7 | 4 | 6 | ||
| 4 | 3 | 8 | ||
| 4 | 6 | 5 | ||
| 5 | 3 | 7 | ||
| 6 | 5 | 6 | ||
| 5 | 4 | 8 |
a. Use 0.05 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).
| 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).
b. Use Fisher's LSD procedure to compare the comfort levels of nonbrowsers and light browsers. Use 0.05.
Compute the LSD critical value (to 2 decimals).