You wish to compare how a low-fat diet, low-fat diet and a brisk four-mile walk each day,
Question:
You wish to compare how a low-fat diet, low-fat diet and a brisk four-mile walk each day, and a low-fat diet and a four-mile job each day affect cholesterol levels. You randomly assign six subjects to each group. The scores in the table below show the reduction in cholesterol count after two months.
Conduct all 5 steps of the appropriate statistic. Be sure to label all five steps.
Report the statistics as you would in a journal article.
Low-Fat Diet | Diet and Walk | Diet and Run | ||
10 | 14 | 19 | ||
8 | 12 | 15 | ||
15 | 18 | 14 | ||
12 | 16 | 16 | ||
9 | 13 | 18 | ||
6 | 17 | 20 | ||
Make Assumptions and meet test requirements.
State the null hypothesis.
Select the sampling distribution and establish the critical region.
Compute the test statistic.
Sample | X | X2 | |||
Low-fat diet | 10 | 100 | |||
Mlfd = 10 | 8 | 64 | |||
nlfd = 6 | 15 | 225 | |||
12 | 144 | ||||
9 | 81 | ||||
6 | 36 | ||||
?Xlfd = 60 | ?X2 = 650 | ||||
Diet + Walk | 14 | 196 | |||
Mdietwalk = 15 | 12 | 144 | |||
ndietwalk = 6 | 18 | 324 | |||
16 | 256 | ||||
13 | 169 | ||||
17 | 289 | ||||
?Xdietwalk = 90 | ?X2 = 1378 | ||||
Diet + Run | 19 | 361 | |||
Mdietrun = 17 | 15 | 225 | |||
ndietrun = 6 | 14 | 196 | |||
16 | 256 | ||||
18 | 324 | ||||
20 | 400 | ||||
?Xdietrun = 102 | ?X2 = 1762 | ||||
Summary Data Table | |||
Low-fat | Diet+Walk | Diet+Run | |
?X | 60 | 90 | 102 |
?X2 | 650 | 1378 | 1762 |
Group Mean | 10 | 15 | 17 |
Grand Mean | 14 |
Source Table | ||||
Source | SS | df | MS | F |
Between-Groups | ? | ? | ? | ? |
Within-Groups | ? | 15 | ? | |
Total | ? | 17 | ||
SST = ?X2
Advanced Financial Accounting
ISBN: 978-0137030385
6th edition
Authors: Thomas Beechy, Umashanker Trivedi, Kenneth MacAulay