Data from Finer Diner, Kim’s Kitchen, and Pete’s Place was used to find out if t
ID: 3174722 • Letter: D
Question
Data from Finer Diner, Kim’s Kitchen, and Pete’s Place was used to find out if there is a difference in the number of calories in their desserts. Set alpha to 0.05 and determine if there is a difference in the mean number of calories.
Restaurant
Finer Diner
Kim’s Kitchen
Pete’s Place
Dessert 1
420
1006
880
Dessert 2
570
852
800
Dessert 3
636
1152
508
Dessert 4
377
1255
785
Dessert 5
258
1366
702
Use your findings to complete this exercise.
Create an outline in which you:
1. Identify ways to makert desserts for the Finer Diner to give them a competitive edge over their competition
2. Illustrate potential changes in the lineup of desserts at Finer Diner that could solicit more sales
3. Propose marketing ideas directed specifically at the competition's customers in order to them to try desserts at the Finer Diner.
Restaurant
Finer Diner
Kim’s Kitchen
Pete’s Place
Dessert 1
420
1006
880
Dessert 2
570
852
800
Dessert 3
636
1152
508
Dessert 4
377
1255
785
Dessert 5
258
1366
702
Explanation / Answer
Here we wanted to check whether there is a significant difference between the number of calories in the desserts of the three places. So the hypothesis of interest is,
H0:µ1= µ2=µ3 and Ha: At least one mean is significantly different.
Here the number of group is more than 2 and we are testing for mean so an ANOVA test is the most appropriate test.
Using SPSS the obtained output is given below.
Oneway
ANOVA
Val
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
1145482.133
2
572741.067
20.405
.000
Within Groups
336825.600
12
28068.800
Total
1482307.733
14
From the above output we can see that the p-value for the above test is 0.000 which is smaller than the considered significance level of 0.05 thus we are rejecting the null hypothesis concluding that at least one mean is significantly different.
As at least one mean is significantly different so we need to perform a Post-Hoc test. The obtained output is given below,
Post Hoc Tests
Multiple Comparisons
Dependent Variable: Val
Tukey HSD
(I) Factor
(J) Factor
Mean Difference (I-J)
Std. Error
Sig.
95% Confidence Interval
Lower Bound
Upper Bound
Fine Diner
Kim's Kitchen
-674.00000*
105.95999
.000
-956.6868
-391.3132
Pete's Place
-282.80000*
105.95999
.050
-565.4868
-.1132
Kim's Kitchen
Fine Diner
674.00000*
105.95999
.000
391.3132
956.6868
Pete's Place
391.20000*
105.95999
.008
108.5132
673.8868
Pete's Place
Fine Diner
282.80000*
105.95999
.050
.1132
565.4868
Kim's Kitchen
-391.20000*
105.95999
.008
-673.8868
-108.5132
*. The mean difference is significant at the 0.05 level.
Homogeneous Subsets
Val
TukeyHSDa
Factor
N
Subset for alpha = 0.05
1
2
3
Fine Diner
5
452.2000
Pete's Place
5
735.0000
Kim's Kitchen
5
1126.2000
Sig.
1.000
1.000
1.000
Means for groups in homogeneous subsets are displayed.
a. Uses Harmonic Mean Sample Size = 5.000.
The above output indicates that all the pairs are significantly different from each other. Moreover the Fine Diner has the smallest mean.
Now we need to identify an outline which will give Fine Diner a competitive edge over the other competitions as well we need to identify potential improvements and marketing ideas to increase the sales.
I think the answer lies in above results. From the above results it is clear that the calorie content in the desserts of Fine Diner is significantly lower than the other places. Nowadays people are conscious about the calorie so Fine Diner can take this as their marketing strategy. They can show that their product gives really low calorie and thus anyone can try it. That will give the edge in competition as well as increase sales over other competitions.
ANOVA
Val
Sum of Squares
df
Mean Square
F
Sig.
Between Groups
1145482.133
2
572741.067
20.405
.000
Within Groups
336825.600
12
28068.800
Total
1482307.733
14
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