80.2K

Verified Solution

Link Copied!

A marketing organization wishes to study the effects of foursales methods on weekly sales of a product. The organizationemploys a randomized block design in which three salesman use eachsales method. The results obtained are given in the followingtable, along with the Excel output of a randomized block ANOVA ofthese data.

	Salesman, j
Sales Method,i	A	B	C
1	39	31	23
2	41	28	28
3	31	23	15
4	33	19	16

ANOVA: Two-Factor without Replication
SUMMARY	Count	Sum	Average	Variance
Method 1	3	93	31.0000	64.0000
Method 2	3	97	32.3333	56.3333
Method 3	3	69	23.0000	64.0000
Method 4	3	68	22.6667	82.3333
Salesman A	4	144	36.00	22.6667
Salesman B	4	101	25.25	28.2500
Salesman C	4	82	20.50	37.6667

ANOVA
Source ofVariation	SS	df	MS	F	P-Value	F crit
Rows	236.9167	3	78.9722	16.43	.0027	4.7571
Columns	504.5000	2	252.2500	52.49	.0002	5.1433
Error	28.8333	6	4.80556
Total	770.2500	11

(a) Test the null hypothesisH₀ that no differences exist between theeffects of the sales methods (treatments) on mean weekly sales. Setα = .05. Can we conclude that the different sales methods havedifferent effects on mean weekly sales?

F = 16.43, p-value = .0027; (Click to select)RejectDonot reject H₀: there is (Click to select)adifferenceno difference in effects of the sales methods(treatments) on mean weekly sales.

(b) Test the null hypothesisH₀ that no differences exist between theeffects of the salesmen (blocks) on mean weekly sales. Set α = .05.Can we conclude that the different salesmen have different effectson mean weekly sales?

F = 52.49, p-value = .0002; (Click to select)Do notrejectReject H₀: salesman (Click to select)donotdo have an effect on sales

(c) Use Tukey simultaneous 95 percentconfidence intervals to make pairwise comparisons of the salesmethod effects on mean weekly sales. Which sales method(s) maximizemean weekly sales? (Round your answers to2 decimal places. Negative amounts should be indicated by a minussign.)

Method 1 –Method 2:	[,]
Method 1 –Method 3:	[,]
Method 1 –Method 4:	[,]
Method 2 –Method 3:	[,]
Method 2 –Method 4:	[,]
Method 3 –Method 4:	[,]