The marketing department of a company has designed three different packing boxes for its product. It wants to determine which box will produce the largest amount of sales. Each box will be test-marketed in five different stores for a period of a month. Below you are given the information on sales (in dollars).
Store 1
Store 2
Store 3
Store 4
Store 5
Box 1210
230
190
180
190
Box 2195
170
200
190
193
Box 3295
275
290
275
265
?
a.State the null and alternative hypotheses.b.Construct an ANOVA table.c.What conclusion do you draw?d.Use Fisher's LSD procedure and determine which mean (if any) is different from the others. Let ? = .01.
What will be an ideal response?
?
| a. | ||||
| H0: ?1 = ?2 = ?3Ha: At least one mean is different | ||||
| b. | ||||
| Source | Sum of Squares | df | Mean Square | F |
| Treatments | 24,467.20 | 2 | 12,233.6 | 48.4 |
| Blocks | 711.07 | 4 | 177.77 | |
| Error | 2022.14 | 8 | 252.77 | |
| Total | 27,200.41 | 14 | ||
| c. Reject the null hypothesis; p-value is less than .01 (almost zero); at least one mean is different from the others. | ||||
| d. LSD = 33.74; the mean of box 3 is different from the others. | ||||
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What will be an ideal response?
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