A marketing specialist wanted to study the brand recall time of two brands (Brand A and Brand B). He randomly selected 30 participants and showed them each brand, one after another, and measured the amount of time (in seconds) they took to recall the brand names. The dataset can be found below. BrandA BrandB 6.7 7 6.8 6.6 6.7 6.9 6.9 7 7 7.1 6.8 6.8 6.9 6.8 7 6.9 7 7.1 7 7 7.1 7.1 7.1 6.8 7 7.1 7.1 6.8 7.2 7 7 7 6.9 7 6.9 6.9 7.1 6.9 6.9 7.1 7 6.8 7 7 7 7 7.2 7.1 7.1 6.9 7 7 7.1 7 6.9 6.9 7.2 6.9 7.1 7 (a) Describe the 90% confidence intervals for mean recall time of each brand. Based on the confidence intervals, discuss whether we can conclude that the recall time for both brands are similar. You are required to present the relevant Excel output table. (b) Apply an appropriate hypothesis test at the 10% significant level to determine whether the recall time of both brands are similar. You are required to present the relevant Excel output table. (c) Interpret the results from Part (a) and (b). Should the conclusion be different or similar? Please provide your justification.
A marketing specialist wanted to study the brand recall time of two brands (Brand A and Brand B). He randomly selected 30 participants and showed them each brand, one after another, and measured the amount of time (in seconds) they took to recall the brand names. The dataset can be found below.
| BrandA | BrandB |
| 6.7 | 7 |
| 6.8 | 6.6 |
| 6.7 | 6.9 |
| 6.9 | 7 |
| 7 | 7.1 |
| 6.8 | 6.8 |
| 6.9 | 6.8 |
| 7 | 6.9 |
| 7 | 7.1 |
| 7 | 7 |
| 7.1 | 7.1 |
| 7.1 | 6.8 |
| 7 | 7.1 |
| 7.1 | 6.8 |
| 7.2 | 7 |
| 7 | 7 |
| 6.9 | 7 |
| 6.9 | 6.9 |
| 7.1 | 6.9 |
| 6.9 | 7.1 |
| 7 | 6.8 |
| 7 | 7 |
| 7 | 7 |
| 7.2 | 7.1 |
| 7.1 | 6.9 |
| 7 | 7 |
| 7.1 | 7 |
| 6.9 | 6.9 |
| 7.2 | 6.9 |
| 7.1 | 7 |
(a) Describe the 90% confidence intervals for mean recall time of each brand. Based on the confidence intervals, discuss whether we can conclude that the recall time for both brands are similar. You are required to present the relevant Excel output table.
(b) Apply an appropriate hypothesis test at the 10% significant level to determine whether the recall time of both brands are similar. You are required to present the relevant Excel output table.
(c) Interpret the results from Part (a) and (b). Should the conclusion be different or similar? Please provide your justification.
Step by step
Solved in 4 steps with 4 images
