Question
An e-commerce company wants to test three different website layouts (Layout A, Layout B, Layout C) to see if they have a significant effect on the average time (in minutes) a user spends on the site. The following data was collected from different user groups:
| Layout A | Layout B | Layout C |
|---|---|---|
| 8 | 12 | 13 |
| 10 | 11 | 15 |
| 9 | 10 | 14 |
| 11 | 13 | 16 |
| 7 | 9 | 12 |
Perform a one-way ANOVA to test the hypothesis that there is no significant difference between the mean user session times for the three layouts at a 5% level of significance.
(Given F-critical value F(2, 12) at α=0.05 is 3.89).
Answer :
Word Count : 553
To analyze whether there is a significant difference in the average user session times among the three website layouts, one-way Analysis of Variance (ANOVA) can be applied. ANOVA is a statistical technique used to compare the means of three or more independent groups to determine if at least one group mean differs significantly from the others. In this scenario, the null hypothesis (H₀) states that the mean session times for Layout A, Layout B, and Layout C are equal, while the alternative hypothesis (H₁) asserts that at least one layout has a ____ _______ __________ _______ __________ _____ _______ ____ ___ ______ _________.
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To analyze whether there is a significant difference in the average user session times among the three website layouts, one-way Analysis of Variance (ANOVA) can be applied. ANOVA is a statistical technique used to compare the means of three or more independent groups to determine if at least one group mean differs significantly from the others. In this scenario, the null hypothesis (H₀) states that the mean session times for Layout A, Layout B, and Layout C are equal, while the alternative hypothesis (H₁) asserts that at least one layout has a ____ _______ __________ _______ __________ _____ _______ ____ ___ ______ _________.
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