A health psychologist employed by a large corporation is interested in evaluating two weights reduction programs she is considering using with employees of her corporation. She conducts an experiment in which 18 obese employees are randomly assigned to 3 conditions with 6 subjects per condition. The subjects in condition 1 are placed on a diet that reduces their daily calorie intake by 500 calories. The subjects in condition 2 receive the same restricted diet but in addition are required to walk 2 miles each day. Condition 3 is a control group condition in which the subjects are asked to maintain their usual eating and exercise habits. The data presented below are the number of pounds lost by each subject over a 6-month period. A positive number indicates weight loss and a negative number indicates weight gain. Test the hypothesis that the three conditions produce different levels of weight loss. Diet 1 (Pounds lost) Diet 2 (Pounds lost) Control (Pounds lost) 2 12 8 15 9 3 7 20 – 1 6 17 – 3 10 28 – 2 14 30 – 8 State the researcher’s hypotheses ( 0 and H Ha ) in statistical notation. At the 0.05 significance level, complete an ANOVA table and determine whether the chief of police can conclude there is a difference in the mean number of crimes.
A health psychologist employed by a large corporation is interested in evaluating two weights reduction programs she is considering using with employees of her corporation. She conducts an experiment in which 18 obese employees are randomly assigned to 3 conditions with 6 subjects per condition. The subjects in condition 1 are placed on a diet that reduces their daily calorie intake by 500 calories. The subjects in condition 2 receive the same restricted diet but in addition are required to walk 2 miles each day. Condition 3 is a control group condition in which the subjects are asked to maintain their usual eating and exercise habits. The data presented below are the number of pounds lost by each subject over a 6-month period. A positive number indicates weight loss and a negative number indicates weight gain. Test the hypothesis that the three conditions produce different levels of weight loss.
|
Diet 1 (Pounds lost) |
Diet 2 (Pounds lost) |
Control (Pounds lost) |
|
2 |
12 |
8 |
|
15 |
9 |
3 |
|
7 |
20 |
– 1 |
|
6 |
17 |
– 3 |
|
10 |
28 |
– 2 |
|
14 |
30 |
– 8 |
State the researcher’s hypotheses ( 0 and H Ha ) in statistical notation.
At the 0.05 significance level, complete an ANOVA table and determine whether the chief of police can conclude there is a difference in the mean number of crimes.
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