One-Way ANOVA The following data represent the Sales (in $1000) data gathered from a marketing efficacy study in Week 1 of December 2019 at a fast-food chain. Each row is an individual store that was randomly selected for this study. Small Medium Large 62.33 53.04 94.04 64.27 53.19 91.36 57.53 59.42 86.36 67.25 58.88 83.97 56.31 54.15 97.33 61.97 75.18 92.11 56.48 74.17 90.15 56.02 75.52 102.27 66.54 68.33 96.8 62.55 68.99 86.33 66.78 72.04 92.45 67.1 62.98 88.28 52.97 68.14 94.53 59.08 70.83 90.39 58.57 66.37 94.92 52.12 77.5 83.39 64.77 73.16 90.32 51.45 66.56 98.8 60.5 74.81 92.88 49.18 70.66 96.57 70.18 72.24 90.54 54.38 68.45 90.19 70.42 65.34 89.93 69.86 67.93 95.71 64.67 65.12   58.58 66.65   57.32 69.79   53.5 60.54   55.56 70.17   64.91     66.94     68.3     67.91     62.07     57.2     51.43     62.36     61.72     65.53     62.65     68.75     62.75     64.74     69.53     64.52     65.48     64.38

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One-Way ANOVA
The following data represent the Sales (in $1000) data gathered from a marketing efficacy study in Week 1 of December 2019 at a fast-food chain.
Each row is an individual store that was randomly selected for this study.

Small Medium Large
62.33 53.04 94.04
64.27 53.19 91.36
57.53 59.42 86.36
67.25 58.88 83.97
56.31 54.15 97.33
61.97 75.18 92.11
56.48 74.17 90.15
56.02 75.52 102.27
66.54 68.33 96.8
62.55 68.99 86.33
66.78 72.04 92.45
67.1 62.98 88.28
52.97 68.14 94.53
59.08 70.83 90.39
58.57 66.37 94.92
52.12 77.5 83.39
64.77 73.16 90.32
51.45 66.56 98.8
60.5 74.81 92.88
49.18 70.66 96.57
70.18 72.24 90.54
54.38 68.45 90.19
70.42 65.34 89.93
69.86 67.93 95.71
64.67 65.12  
58.58 66.65  
57.32 69.79  
53.5 60.54  
55.56 70.17  
64.91    
66.94    
68.3    
67.91    
62.07    
57.2    
51.43    
62.36    
61.72    
65.53    
62.65    
68.75    
62.75    
64.74    
69.53    
64.52    
65.48    
64.38  

 

Use Excel to conduct a one-way ANOVA to determine if the group means are equal using a = 0.06.
a. The one-way ANOVA test is used to compare mean sales for different market sizes here because
Othere are two independent samples
Othere are matched pair data
Othere are more than two means to compare
Create a side-by-side boxplot in Excel for these data. Use that and the numerical summary of sample
data to answer the following questions.
b. Compute the
HighestS tan dardDeviation
SmallestS tan dard Deviation
decimal places)
II
(Rounded to 2
Transcribed Image Text:Use Excel to conduct a one-way ANOVA to determine if the group means are equal using a = 0.06. a. The one-way ANOVA test is used to compare mean sales for different market sizes here because Othere are two independent samples Othere are matched pair data Othere are more than two means to compare Create a side-by-side boxplot in Excel for these data. Use that and the numerical summary of sample data to answer the following questions. b. Compute the HighestS tan dardDeviation SmallestS tan dard Deviation decimal places) II (Rounded to 2
c. Based on your answer to previous part and rule of thumb, is the equal variance assumption
violated?
Yes
O No, because the previous answer is smaller than 2.
Though not specifically assessed here, you are encouraged to also check validity of the other
assumptions and interpret the results.
d. Based on the given information and plots, select ALL that are true for these data.
Median sales is smallest for Small markets while it is highest for Large markets.
The sample data contain at least one outlier.
We can reasonably assume each population has a normal distribution because sampled data
do not deviate much from a normal distribution.
The samples are random and independent.
We cannot assume each population has a normal distribution because samples do not have
approximately a normal distributions.
The sample data contain no outliers.
Transcribed Image Text:c. Based on your answer to previous part and rule of thumb, is the equal variance assumption violated? Yes O No, because the previous answer is smaller than 2. Though not specifically assessed here, you are encouraged to also check validity of the other assumptions and interpret the results. d. Based on the given information and plots, select ALL that are true for these data. Median sales is smallest for Small markets while it is highest for Large markets. The sample data contain at least one outlier. We can reasonably assume each population has a normal distribution because sampled data do not deviate much from a normal distribution. The samples are random and independent. We cannot assume each population has a normal distribution because samples do not have approximately a normal distributions. The sample data contain no outliers.
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