Question

GAGE MINDTA 13 Assignment The following data are from an experiment designed to investigate the perception of corporaba ethical values among individuals who are groups are considered management, research and advertising higher scores indicate higher ethical values). Marketing Managers Marketing Research Advertising .. Come the sented below ( 12 decimal Sum of Sures, Trement Mean Sques, Error b.U .06 to test for a cantareste in perin Calculate the value of the test attito decimal). Uning 05, dermine whare differences between the mean perception scores Calculer's Lovato ). ting managers () marketing resear c a () and advertising peace End POUD Agon Backspa M

Answer 1

	Marketing Managers	Marketing Research	Advertising
	5	8	6
	4	8	7
	3	7	6
	4	7	5
	5	8	6
	3	7	6
Total(yi)	24	45	36
Averages y̅i	4	7.5	6
Treatment Effect	4 - 5.83 = -1.83	7.5 - 5.83 = 1.67	6 - 5.83 = 0.17

	Sum of Squares	Degree of freedom	Mean Square	F0 = MST / MSE	P value
Treatment	36.99	2	18.5	37	< 0.01
Error	7.5	15	0.5
Total	44.49	17

Part a)

SST = 36.99

SSE = 7.5

MST = 18.5

MSE = 0.5

Part b)

Test Statistic :-
f = MS treatment / MS error = 37

Reject null hypothesis if P value < α = 0.05
Since P value = 0 < 0.05, hence we reject the null hypothesis
Conclusion :- Treatment means differs

part c)

t(α/2 , N-a ) = 2.13 ( Critical value from t table )

LSD = = 0.87 Since the design is balanced n1 = n1 = n3 = n

ta/2,N-a (2/MSE)/n

Y1. - Y2.
= | 4 - 7.5 | = 3.5

Y1. - Y3
= | 4 - 6 | = 2

Y2. – Y3.
= | 7.5 - 6 | = 1.5
Since | 4 - 7.5 | > 0.87, we conclude that the population means µ1. and µ2. differ.
Since | 4 - 6 | > 0.87, we conclude that the population means µ1. and µ3. differ.
Since | 7.5 - 6 | > 0.87, we conclude that the population means µ2. and µ3. differ.