In: Statistics and Probability
Consider a study that compares the Atkins diet to a conventional diet. A study at the University of Pennsylvania selected a sample of 63 subjects from the local population of obese adults. Researchers randomly assigned 33 to the Atkins diet and 30 subjects to a conventional diet. Test whether there is a significant difference in the mean weight loss (measured in pounds) across the two different diet programs.
Using software:
Generate summary statistics (central tendency and variability measures) for the two samples and briefly summarize what they say.
b. Conduct a test of significance for the difference between the mean sales across the two different locations in the store. Be sure to show the output from the software and interpret the results.
c. Construct a 95% confidence interval for the difference parameter in mean sales and make an interpretation.
d. Finally, are there any other factors, besides where the product is placed, that could possibly influence sales (identify at least 2)? Include a brief explanation of each.
Atkins   Conventional  
27   26  
31   26  
34   29  
31   24  
28   25  
32   22  
33   27  
27   24  
34   25  
25   28  
31   30  
26   27  
28   25  
30   23  
26   20  
26   22  
31   29  
34   28  
27   21  
28   25  
33   22  
26   24  
26   22  
30   25  
26   29  
34   24  
25   26  
32   21  
29   22  
33   21  
27      
29      
25      
| Atkins | Conventional | |
| 27 | 26 | |
| 31 | 26 | |
| 34 | 29 | |
| 31 | 24 | |
| 28 | 25 | |
| 32 | 22 | |
| 33 | 27 | |
| 27 | 24 | |
| 34 | 25 | |
| 25 | 28 | |
| 31 | 30 | |
| 26 | 27 | |
| 28 | 25 | |
| 30 | 23 | |
| 26 | 20 | |
| 26 | 22 | |
| 31 | 29 | |
| 34 | 28 | |
| 27 | 21 | |
| 28 | 25 | |
| 33 | 22 | |
| 26 | 24 | |
| 26 | 22 | |
| 30 | 25 | |
| 26 | 29 | |
| 34 | 24 | |
| 25 | 26 | |
| 32 | 21 | |
| 29 | 22 | |
| 33 | 21 | |
| 27 | ||
| 29 | ||
| 25 | ||
| Mean | 29.21212 | 24.73333 | 
| SD | 3.079748 | 2.790789 | 
| n | 33 | 30 | 






sales depends on demand and CD players have demand on what type in the market