Question

Q1. 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

*******PLEASE SHOW ALL WORK*********

Summary statstics (2 points)

Group	Exercise Group	N	Mean	Std Dev
1	Weight Training
2	Aerobic Exercise
3	Stretching/Yoga

MSB=

MSW=

F-stat=

Answer 1

using excel>data>data analysis>ANOVA single factor

we have

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance	standard devaition
Weight Training	17	842	49.52941	11.88971	3.448145
Aerobic Exercise	17	643	37.82353	13.90441	3.728862
Stretching/Yoga	17	1020	60	12.25	3.5
ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	4184.588	2	2092.294	164.9896	3.09E-22	3.190727
Within Groups	608.7059	48	12.68137
Total	4793.294	50

Group	Exercise Group	N	Mean	Std Dev
1	Weight Training	17	49.5294	3.448
2	Aerobic Exercise	17	37.8235	3.729
3	Stretching/Yoga	17	60	3.5

MSB=2092.294
MSW=12.6814

F-stat=164.99