Title: Comparison of Four Deserts
Author: Madhushri Nadar
Introduction: Desserts are sweet culinary creations offering a wide range of flavors and textures. Classics like cheesecake, tiramisu, crème Brulé, and brownie remain popular. This report explores consumer preferences among these desserts. Key trends and preferences are identified and analyzed.
Objective: To find out consumer preferences on desert among these 4 deserts.
Data Collection: Data for this research was collected from 25 random samples through a survey using a Google Form that asked participants to rate each desert on a scale coded as 1 for least preferred to 10 for most preferred. Following the data collection, single factor Anova was conducted to analyze the differences in ratings between the deserts.
Data Analysis:
Anova: Single factor
|
SUMMARY |
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|
Groups |
Count |
Sum |
Average |
Variance |
||
|
Cheesecake |
25 |
158 |
6.32 |
7.893333 |
||
|
Tiramisu |
25 |
138 |
5.52 |
9.676667 |
||
|
Crème Brulé |
25 |
142 |
5.68 |
11.14333 |
||
|
Brownie |
25 |
205 |
8.2 |
5.583333 |
||
|
ANOVA |
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|
Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
113.39 |
3 |
37.79667 |
4.408203 |
0.005982 |
2.699393 |
|
Within Groups |
823.12 |
96 |
8.574167 |
|||
|
Total |
936.51 |
99 |
|
|
|
|
The Anova table shows the results of the analysis. The between groups source of variation has a sum of square (ss) of 113.39, degrees of freedom (df) of 3, which results in a mean square (MS) of 37.79667. The within groups source of variation has a sum of square (ss) of823.12, degrees of freedom (df) of 96, which results in a mean square (MS) of 8.574167. P-value: 0.005982, F-value: 4.408203, F critical value: 2.699393.
Null Hypothesis (H0): There is no difference
Alternative Hypothesis (H1): There is a difference.
If the P-value is less than the significance level (commonly 0.05), we reject the null hypothesis. Alternatively, if the F-value is greater than the F critical value, we also reject the null hypothesis. P-value: 0.005982 < 0.05 (significant), F-value: 4.408203 > 2.699393 (also significant).
Result: Since the p-value (0.005982) is less than the significance level (α = 0.05), we reject the null hypothesis.
Conclusion: There is a statistically significant difference in the four desserts.