Title: Sunglasses Brand Ratings
Author: Rutuj Parab (021330124013)
Introduction: Sunglasses are essential accessories that not only protect the eyes from harmful UV rays but also enhance style and comfort. Available in various designs, shapes, and lenses, they serve multiple purposes from fashion statements to sports performance aids. With a rich history dating back centuries, sunglasses have evolved to combine functionality with aesthetic appeal, making them a staple in wardrobes around the world.
Objective: To find out if all are having the same suggestion or if any one of them is different between the four options.
Data Collection: Data for this study was collected through a survey of 25 classmates. Using a Google form that asked participants to rate each sunglasses brand on a scale of 1 to 10. Following the data collection, single factor Anova was conducted to analyze the differences in ratings between the brands.
Data analysis:
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Anova: Single Factor |
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SUMMARY |
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Groups |
Count |
Sum |
Average |
Variance |
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|
Ray-Ban |
25 |
188 |
7.52 |
5.176666667 |
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|
Prada |
25 |
163 |
6.52 |
3.843333333 |
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|
Versace |
25 |
192 |
7.68 |
4.143333333 |
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|
Coach |
25 |
146 |
5.84 |
6.14 |
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|
ANOVA |
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Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
|
Between Groups |
56.51 |
3 |
18.83666667 |
3.903298221 |
0.011167836 |
2.699392598 |
|
Within Groups |
463.28 |
96 |
4.825833333 |
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|
Total |
519.79 |
99 |
|
|
|
|
Null hypothesis(H0): There is no significant difference in the average ratings between the four sunglasses brand (Ray-Ban, Prada, Versace, Coach).
Alternative Hypothesis (H1): At least one group mean is significantly different from the others. F-value: 3.90 P-value: 0.011, F critical value: 2.70 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: 0.011< 0.05 (significant), F-value: 3.90 > 2.70 (also significant)
Conclusion: Since both the P-value is less than 0.05 and the F-value exceeds the F critical value, we reject the null hypothesis. This indicates that there is a statistically significant difference in the means of at least one of the sunglasses brand.