23. Suppose a new is interested in the effectiveness of a vitamin supplementatio
ID: 2930440 • Letter: 2
Question
23. Suppose a new is interested in the effectiveness of a vitamin supplementation program at reducing resting heart rate. Researchers will use the following table represents the approximated by a normal distribution. each participant as his own control. Assume e outcome for each participant, and that the sample can be Participant Resting heart rate (bpm) Resting heart rate (bpm) Vitamin Supplementation 67 No Supplementation 72 65 69 71 70 67 62 69 65 A) What type of study design is this? Be as specific as possible. 2 points) B) Carry out the appropriate hypothesis test to investigate whether there is a significant difference in the resting heart rate with the vitamin program. Use -0.05. 1) Hypotheses (2 point) 3) P-Value (1 points) 4) Conclusion (2 points)Explanation / Answer
A)
This study design is about the same group before vs after some treatment. In this case, it is to measure bpm before and after a vitamin supplementation.
B, C and D)
H0: D = 0
H1: D # 0
Participant
bpm No supplementation
bpm Vitamin supplementation
Diff (Di)
(Di-D)
(Di-D)^2
A
72
67
-5
-1.166666667
1.361111111
B
65
66
1
4.833333333
23.36111111
C
69
67
-2
1.833333333
3.361111111
D
71
62
-9
-5.166666667
26.69444444
E
70
69
-1
2.833333333
8.027777778
F
72
65
-7
-3.166666667
10.02777778
Avg
Sum
Sum
D
-3.833333333
0
72.83333333
D=ED/n=-23/6=-3.83
S.D=(E(Di-D)2/n-1)=72.83333/5=3.8166
tSTAT=D- /S.D/n
Where tSTAT has n - 1 d.f
tSTAT=-3.83-0/3.8166/6
=-2.46
tCRIT=+/- 2.57
Do not reject H0
The P-Value is .057229 which is greater than 0.05 and hence do not reject H0
Participant
bpm No supplementation
bpm Vitamin supplementation
Diff (Di)
(Di-D)
(Di-D)^2
A
72
67
-5
-1.166666667
1.361111111
B
65
66
1
4.833333333
23.36111111
C
69
67
-2
1.833333333
3.361111111
D
71
62
-9
-5.166666667
26.69444444
E
70
69
-1
2.833333333
8.027777778
F
72
65
-7
-3.166666667
10.02777778
Avg
Sum
Sum
D
-3.833333333
0
72.83333333
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