Question

Scenario Script Caption: Mieke has been working to tackle a difficult problem and she needs your help. She wants to know the most effective location for displaying Princess’ new granola bar in retail grocery stores. Mieke: Where we put our products in our grocery stores has a pretty significant impact on sales. Does the granola bar sells better in the aisles, or in promotional displays at the end of shelves or is most popular when it’s stocked in the checkout lanes as an impulse item? Caption: The marketing department conducted an experiment where they placed the granola bars at one of three locations in five stores for each treatment in similar stores. The data have been collected and now requires analysis.

With the information below, complete the following:

1. Conduct an ANOVA test at a significance of 5%.

2. Interpret the results and explain which location you would recommend and why.

Store	Aisle	End-Cap	Checkout Lane
1	738	712	833
2	726	685	795
3	722	725	782
4	715	699	754
5	767	632	772

Answer 1

1)

Ho: there is no different in sales of bars at three different positions
H1: there is different in sales of bars at three different positions

Anova: Two-Factor Without Replication
SUMMARY	Count	Sum	Average	Variance
1	3	2283	761	4057
2	3	2206	735.33333	3090.333
3	3	2229	743	1143
4	3	2168	722.66667	800.3333
5	3	2171	723.66667	6308.333
aisle	5	3668	733.6	418.3
endcap	5	3453	690.6	1294.3
checkoutlane	5	3936	787.2	879.7
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Rows	2993.733	4	748.4333	0.8118	0.5516	3.8379
Columns	23422.53	2	11711.2667	12.7029	0.0033	4.4590
Error	7375.467	8	921.9333
Total	33791.73	14

F test = 12.7029

p value = 0.0033

p value < 0.05 , so REJECT Ho

so it is cuncluded that there is different sales of bars at three different positions

2)

there is difference in  sales of bars at three different positions.

the sale of granola bars is most at the position of check out lane (mean= 787.2)

please revert back for doubt