Title: Sunglasses Brand Ratings
Author: Vaidehi Shinde (021330024460)
Introduction: Sunglasses are essential tools for protecting your eyes from the harmful effects of the sun’s ultraviolet (UV) rays. While they’re often seen as a stylish accessory their primary function is to shield your eyes from the damaging radiation that can lead to conditions like cataracts, macular degeneration, and even skin cancer around the eyes.
Objective: To find out if all are the same or if any one of them is different between the four options.
Data Collection: Data is collected by using a random sample method. Circulated google form to collect the responses from classmates and family members. Their preference of choosing the sunglasses options got considered while filling in the form.
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 |
195 |
7.8 |
5.5 |
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Prada |
25 |
183 |
7.32 |
3.393333333 |
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|
Versace |
25 |
200 |
8 |
2.583333333 |
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|
Coach |
25 |
168 |
6.72 |
5.46 |
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ANOVA |
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Source of Variation |
SS |
df |
MS |
F |
P-value |
F crit |
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Between Groups |
24.36 |
3 |
8.12 |
1.91773273 |
0.131849572 |
2.699392598 |
|
Within Groups |
406.48 |
96 |
4.234166667 |
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Total |
430.84 |
99 |
|
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|
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Null Hypothesis (H0): There are no significant differences in the means of the four sunglasses brands.
Alternative Hypothesis (H1): At least one group mean is significantly different from the others. F-value: 1.92 , P-value: 0.13 , 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 smaller than the F critical value, we will reject the alternative hypothesis. As the P-value is 0.13 which is more than the significant level of 0.05 this indicates that we will accept the Null Hypothesis(H0) and reject the Alternate Hypothesis(H1).
Conclusion: As we accept the Null Hypothesis, we can say that there is no statistically significant difference in the average rating of sunglasses brands.