An online retailer has come up with two new layouts for their website. To determine whether they should revamp the website, a focus group of 8 individuals is put together. These 8 individuals will each purchase a set basket of items using each version of the website: the current version, the first new version, and the second new version. After each purchase, they are asked to rate the experience on several factors. From these ratings, an overall experience rating is calculated. The results are shown in the table below.

ID #	Current Website	1st New Version	2nd New Version	Person Total
1	11	10	16	P1 = 37	N = 24
2	9	10	18	P2 = 37	G = 314
3	9	12	18	P3 = 39	ΣX2 = 4406
4	9	12	20	P4 = 41
5	12	15	17	P5 = 44
6	8	12	14	P6 = 34
7	9	13	13	P7 = 35
8	12	15	20	P8 = 47
	T = 79	T = 99	T = 136
	M = 9.875	M = 12.375	M = 17
	SS = 16.875	SS = 25.875	SS = 46

Using a significance level of α = 0.01, conduct an ANOVA F test by filling in the missing information below and answering all of the questions. Express any numerical answers rounded to two decimal places. Be sure to use unrounded values within all calculations (even those that have already been expressed as a rounded number).

Hypotheses:
H0:μ0=μ1=μ2H0:μ0=μ1=μ2
H1:at least two means are different from each otherH1:at least two means are different from each other

Test Statistic:
Complete the following ANOVA summary table.

Source	SS	df	MS	F
Between Treatments
Within Treatments
Between Subjects
Error
Total

The test statistic resulting from the data is .

Critical Value:
For this test, we use a critical value of as our cutoff point.

Decision:
Based on the results above, we would Select an answer fail to reject the null hypothesis reject the null hypothesis .

Conclusion:
The conclusion we would draw is :

• we conclude that the user experience of the different website versions are all the same
• we cannot disprove that the user experience of the different website versions are all the same
• we cannot disprove that the website version has an effect on user experience
• we conclude that the website version has an effect on user experience

Complete the following post-hoc test regardless of whether you rejected or failed to reject the null hypotehsis.

Scheffé Test:
Use the Scheffé Test to determine whether each website pair had significantly different average experience ratings.

Current Website and 1^st New Version:
MSbetween = Fstat =
MSerror =


Current Website and 2^nd New Version:
MSbetween = Fstat =
MSerror =


1^st New Version and 2^nd New Version:
MSbetween = Fstat =
MSerror =


Select the website pairs that would be considered significantly different.(check all options)

• Current Website and 1st New Version
• Current Website and 2nd New Version
• 1st New Version and 2nd New Version