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# ANOVA Table & Hypothesis Testing

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Making an ANOVA table and doing hypothesis testing on the given problem.

https://brainmass.com/statistics/analysis-of-variance/anova-table-hypothesis-testing-8636

#### Solution Preview

Before I begin, please note that if there is a 2 next to a bracket, that means square the number. Thanks.
<br>First, you have to calculate these first initial steps
<br><br>1) Calculate the sum of cola at the door, in soft drink area, near register and dairy section
<br>2) Calculate (Sum of x)squared for all 4 cola locations
<br>3) Calculate the mean of 4 cola locations
<br>4) calculate Sum of x2 the 4 cola locations
<br><br>NOTE:
#2 (sum x)2 is not the same as # 4 Sum of the x2.
for #2, you add all the numbers, then square it
<br>Cola at the door:= 6+8+3+7+4+5 = 33
<br>#4) = 36+64+9+49+16+25= 199
<br>You have ...

#### Solution Summary

The Buffalo, New York, cola distributor is featuring a super-special sale on 12-packs. She wonders where in the grocery store to place the cola for maximum attention. Should it be near the front door of the grocery stores, in the cola section, at the checkout registers, or near the mild and other dairy products? Four stores with similar total sales cooperated in an experiment. In one store the 12-packs were stacked near the front door, in another they were placed near the checkout registers, and so on. Sales were checked at specified times in each store for exactly four minutes. The results were:

Cola at the Door In Soft Drink Section Near Registers Dairy Section
6 5 7 10
8 10 10 9
3 12 9 6
7 4 4 11
4 9 5 12
5 11 7 13

The Buffalo distributor wants to find out whether there is a difference in the mean sales for cola stacked at the four locations in the store. Use an ANOVA analysis and the 0.05 significance level.

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