Question

Question 3
Using the data set below, determine if there is a difference in the method of advertisement strategies employed via sample products in (1) all color, (2) all black-and-white, and (3) a combination of both. Utilize the appropriate statistical test to examine if the three formats differ in attactiveness, and explain the results you achieve as to whether or not this is the case.
																			Color	B & W	Combo
																			10	4	9
																			8	5	8
7	4	8
8	3	9
9	3	8
6	4	7
7	5	8
6	6	9
6	5	9
7	7	10
8	6	10
7	5	9
6	4	8
5	5	9
6	4	10
7	4	10
7	3	8

Answer 1

Anova one way is used as there is one factor having more than 2 levels

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Color	17	120	7.058824	1.558824
B & W	17	77	4.529412	1.264706
Combo	17	149	8.764706	0.816176
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	154.3922	2	77.19608	63.62828	3.17E-14	3.190727
Within Groups	58.23529	48	1.213235
Total	212.6275	50

p-value = 0.0000 < alpha

hence reject the null hypothesis

we conclude that there is evidence that there is difference in means for different levels