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