It might be predicted that consumer buying behavior would vary with the location of products in...

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It might be predicted that consumer buying behavior would varywith the location of products in a store. Therefore, a team ofmarket researchers looked at the sales per day for a well-known andunknown brand of candy bars. Additionally, the researchers placedthe candy bars in the usual location and next to the cash registerin different stores. What can the market researchers conclude withan ? of 0.05?

known brand/
usual
known brand/
cash register
unknown brand/
usual
unknown brand/
cash register
16
24
19
17
26
30
18
25
15
16
20
31
27
19
11
6
9
13
14
7
11
19
18
16
21
22
17
19



a) Compute the appropriate test statistic(s) tomake a decision about H0.
Location: critical value =  ; teststatistic =  


Brand: critical value =  ; teststatistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0

Interaction: critical value =  ; teststatistic =  
Decision:  ---Select--- Reject H0 Fail to reject H0


b) Compute the corresponding effect size(s) andindicate magnitude(s).
Location: ?2=  ;  ---Select--- na trivial effect smalleffect medium effect large effect
Brand: ?2=  ;  ---Select--- na trivial effect smalleffect medium effect large effect
Interaction: ?2=  ;  ---Select--- na trivial effect smalleffect medium effect large effect


c) Make an interpretation based on theresults.

There is a location difference on candy bar sales.There is nolocation difference on candy barsales.     

There is a brand difference on candy bar sales.There is no branddifference on candy bar sales.     

There is a location by brand interaction on candy barsales.There is no location by brand interaction on candy barsales.

Answer & Explanation Solved by verified expert
4.2 Ratings (803 Votes)

a)

data

known brand unknown brand
usual 16 11
24 6
19 9
17 13
26 14
30 7
18 11
cash register 25 19
15 18
16 16
20 21
31 22
27 17
19 19

result

Anova: Two-Factor With Replication
SUMMARY known brand unknown brand Total
usual
Count 7 7 14
Sum 150 71 221
Average 21.42857 10.14286 15.78571
Variance 27.95238 8.809524 51.25824
cash register
Count 7 7 14
Sum 153 132 285
Average 21.85714 18.85714 20.35714
Variance 35.47619 4.47619 20.86264
Total
Count 14 14
Sum 303 203
Average 21.64286 14.5
Variance 29.32418 26.57692
ANOVA
Source of Variation SS df MS F P-value F crit
Sample 146.2857 1 146.2857 7.627561 0.010848 4.259677
Columns 357.1429 1 357.1429 18.62197 0.000237 4.259677
Interaction 120.1429 1 120.1429 6.264432 0.019528 4.259677
Within 460.2857 24 19.17857
Total 1083.857 27

Compute the appropriate test statistic(s) to make a decision about H0.
Location: critical value = 4.259677 ; test statistic =   146.2857
Decision - reject Ho

Brand: critical value =4.259677    ; test statistic =  

357.1429

Decision:  --Reject H0

Interaction: critical value =4.259677   ; test statistic =  

120.1429

Decision:  -Reject H0


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