(c) Use Tukey simultaneous 95 percent confidence intervals to make pairwise comp

Question

(c) Use Tukey simultaneous 95 percent confidence intervals to make pairwise comparisons of the sales method effects on mean weekly sales. Which sales method(s) maximize mean weekly sales? (Round your answers to 2 decimal places. Negative amounts should be indicated by a minus sign.)

Method 1 – Method 2: [, ] Method 1 – Method 3: [, ] Method 1 – Method 4: [, ] Method 2 – Method 3: [, ] Method 2 – Method 4: [, ] Method 3 – Method 4: [, ] A marketing organization wishes to study the effects of four sales methods on weekly sales of a product. The organization employs a randomized block design in which three salesman use each sales method. The results obtained are given in the following table, along with the Excel output of a randomized block ANOVA of these data. 0 Salesmarn Sales Method, i 32 25 33 22 15 ANOVA: Two-Factor without Replication Variance 26.3333 69.3333 81.0000 70 23.3333 82.3333 10.9167 19.6667 9.75 30.2500 SUMMARY Count SumAverage 92 30.6667 92 30.6667 72 24.0000 Method1 Method 2 Method 3 Method 4 Salesman A Salesman B Salesman C 4 141 4 106 35.25 26.50 ANOVA Source of Variation MS 49.2222 241.5833 P-Value 0141 F crit 4.7571 5.1433 147.6667 483.1667 34.8333 665.6667 8.48 41.61 6 Columns 5.80556 Total

Explanation / Answer

(xibar-xjbar)+-q alpha/sqrt 2 *s sqrt[1/ni+1/nj],

value of q at alpha=0.05, and df(3,6) is 4.90.

Tukey

c

Tukey

X1-X2 -6.81644 6.816438 6.816438 X1-X3 -0.14974 13.48314 6.816438 X1-X4 0.516962 14.14984 6.816438 X2-X3 -0.14974 13.48314 6.816438 X2-X4 0.516962 14.14984 6.816438 X3-X4 -6.14974 7.483138 6.816438

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