Question

A clinical trial is run to assess the effects of different forms of regular exercise on HDL levels in persons between the ages of 18 and 29. Participants in the study are randomly assigned to one of three exercise groups - Weight training, Aerobic exercise, or Stretching/Yoga – and instructed to follow the program for 8 weeks. Their HDL levels are measured after 8 weeks and are summarized below. Weight Training Aerobic Exercise Stretching/Yoga 48 38 56 49 41 57 51 42 60 53 37 55 45 39 58 47 44 64 54 43 61 49 42 62 50 36 60 47 34 56 48 33 55 45 35 59 44 38 61 55 40 62 52 34 63 55 32 67 50 35 64 Is there a significant difference in mean HDL levels among the exercise groups? Run the test at a 5% level of significance. (10 points) a) Hypotheses (1 point) HO: 1= 2= 3 vs. HA : At least 1 is different b) Summary statstics (2 points) Group Exercise Group N Mean Std Dev 1 Weight Training 17 49.5294 3.4481 2 Aerobic Exercise 17 37.8235 3.7289 3 Stretching/Yoga 17 60 3.5 c) MSB (1 point) MSB= d) MSW (1 point) MSW= e) Compute F-stat (3 points) F-stat= f) P-value (1 point) g) Conclusion (1 point)(circle one ) Accept H0 Reject H0

Answer 1

A clinical trial is run to assess the effects of different forms of regular exercise on HDL levels in persons between the ages of 18 and 29. Participants in the study are randomly assigned to one of three exercise groups - Weight training, Aerobic exercise, or Stretching/Yoga – and instructed to follow the program for 8 weeks. Their HDL levels are measured after 8 weeks and are summarized below.

WeightTraining	AerobicExercise	Stretching/Yoga
48	38	56
49	41	57
51	42	60
53	37	55
45	39	58
47	44	64
54	43	61
49	42	62
50	36	60
47	34	56
48	33	55
45	35	59
44	38	61
55	40	62
52	34	63
55	32	67
50	35	64

Is there a significant difference in mean HDL levels among the exercise groups?

Run the test at a 5% level of significance. (10 points)

a) Hypotheses (1 point) HO: m1= m2= m3 vs. HA : At least 1 m is different

b) Summary statstics (2 points)

Group Exercise Group N Mean Std Dev

1 Weight Training 17 49.5294 3.4481

2 Aerobic Exercise 17 37.8235 3.7289

3 Stretching/Yoga 17 60 3.5

c) MSB (1 point) MSB=2092.2941

d) MSW (1 point) MSW=12.6814

e) Compute F-stat (3 points) F-stat= 164.99

f) P-value (1 point) 0.0000

g) Conclusion (1 point)(circle one ) Reject H0

Excel used for analysis

One factor ANOVA
	Mean	n	Std. Dev
WeightTraining	49.5294	17	3.4481
AerobicExercise	37.8235	17	3.7289
Stretching/Yoga	60.0000	17	3.5000
Total	49.1176	51	9.7911
ANOVA table
Source	SS	df	MS	F	p-value
Treatment	4,184.5882	2	2,092.2941	164.99	0.0000
Error	608.7059	48	12.6814
Total	4,793.2941	50