A marketing organization wishes to study the effects of four sales methods on we

Question

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 Salesman Sales Method, j 38 43 31 32 30 28 24 25 26 20 17 ANOVA: Two-Factor without Replication SUMMARY Count Sum Average Variance Method 1 93 31.0000 43.0000 86.3333 Method 2 Method 3 Method 4 Salesman A Salesman B Salesman C 97 32.3333 75 25.0000 31.000 68 22.6667 66.3333 36.00 313333 25.25 23.5833 22.00 18.0000 4 144 101 4 ANOVA Source of Variation Rows Columns Error Total 64.9722 214.7500 3.97222 P-Value 0027 0001 F crit 4.7571 5.1433 194.9167 429.5000 16.36 54.06 648.2500 (a) Test the null hypothesis Ho that no differences exist between the effects of the sales methods (treatments) on mean weekly sales. Set ?- 05 Can we conclude that the different sales methods have different effects on mean weekly sales? Fs 16.36, p-value = .0027 (Click to select) ? Ho. there is (Click to select ' in effects of the sales methods (treatments) on mean weekly sales. (b) Test the null hypothesis Ho that no differences exist between the effects of the salesmen (blocks) on mean weekly sales. Set ? = .05. Can we conclude that the different salesmen have different effects on mean weekly sales? F- 54.06, p-value 0001; (Click to select) Ho: salesman (Click to select) have an effect on sales (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.)

Explanation / Answer

Answer

Part (a)

Since ; F value is more than F critical and the p-value is less than 0.05.

So, we Reject H0: There is No Difference in effects of sales methods on mean weekly sales.

Part (b)

Since ; F value is more than F crit and the p-value is less than 0.05.

So, we Reject H0: Salesmen doesn't have an effect on sales

NOTE :- other parts frame a separate question.

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