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.

Click here for the Excel Data File

	Salesman,j
Sales Method,i	A	B	C
1	40	28	26
2	40	31	23
3	33	22	15
4	35	19	15

ANOVA: Two-Factor without Replication
SUMMARY	Count	Sum	Average	Variance
Method 1	3	94	31.3333	57.3333
Method 2	3	94	31.3333	72.3333
Method 3	3	70	23.3333	82.3333
Method 4	3	69	23.0000	112.0000
Salesman A	4	148	37.00	12.6667
Salesman B	4	100	25.00	30.0000
Salesman C	4	79	19.75	31.5833

ANOVA
Source of Variation	SS	df	MS	F	P-Value	F crit
Rows	200.2500	3	66.7500	17.80	.0022	4.7571
Columns	625.5000	2	312.7500	83.40	.0000	5.1433
Error	22.5000	6	3.75000
Total	848.2500	11

(a)	Test the null hypothesisH0that 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?

F = 17.80,p-value = .0022;(Click to select)Do not rejectRejectH₀: there is(Click to select)no differencea differencein effects of the sales methods (treatments) on mean weekly sales.

(b)	Test the null hypothesisH0that 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 = 83.40,p-value = .0000;(Click to select)RejectDo not rejectH₀: salesman(Click to select)dodo nothave 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.)

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