Discussion 07.1- Student t-Test
MA3010 – Statistics for Health Professions SU20 B – Section D01
Discussion 07.1- Student t-Test
For this discussion forum, refer to the Excel File Discussion 7-1 Data Set that contains information on the following:
Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment
(with magnets) group and the sham
(or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed
populations, and do not assume that the population standard deviations are equal.
1.Identify the worksheet (tab) that matches the first letter of your LAST name (i.e., if your last name were Fudd you would use the data from the F tab). This will be the source data you will use to answer your remaining questions for this initial post.
2.What is the null hypothesis and alternative hypothesis?
3.Identify the test statistic and p-value from your source data.
4.Would you reject or fail to reject your null hypothesis? Explain how you came to this conclusion (i.e. either use the test-statistic or p-value to support your claim).
5.Would there be sufficient evidence (based upon your source data) to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment? Explain.
C. H.
A
Treatment Sham
Sample Size 28 28
Sample Mean 0.55 0.39
Sample Standard Deviation 0.85 1.34
B
Treatment Sham
Sample Size 15 15
Sample Mean 0.56 0.36
Sample Standard Deviation 0.82 1.14
C
Treatment Sham
Sample Size 19 19
Sample Mean 0.48 0.43
Sample Standard Deviation 0.97 1.25
D
Treatment Sham
Sample Size 20 20
Sample Mean 0.56 0.46
Sample Standard Deviation 0.76 1.46
E
Treatment Sham
Sample Size 22 22
Sample Mean 0.54 0.38
Sample Standard Deviation 0.87 1.03
F
Treatment Sham
Sample Size 23 23
Sample Mean 0.52 0.38
Sample Standard Deviation 0.73 1.13
G
Treatment Sham
Sample Size 27 27
Sample Mean 0.49 0.41
Sample Standard Deviation 0.52 1.28
H
Treatment Sham
Sample Size 23 23
Sample Mean 0.47 0.37
Sample Standard Deviation 0.76 1.17
I
Treatment Sham
Sample Size 15 15
Sample Mean 0.54 0.45
Sample Standard Deviation 0.74 1.46
J
Treatment Sham
Sample Size 11 11
Sample Mean 0.54 0.39
Sample Standard Deviation 0.96 1.22
K
Treatment Sham
Sample Size 23 23
Sample Mean 0.55 0.37
Sample Standard Deviation 0.68 1.19
L
Treatment Sham
Sample Size 17 17
Sample Mean 0.51 0.41
Sample Standard Deviation 0.93 1.14
M
Treatment Sham
Sample Size 16 16
Sample Mean 0.49 0.44
Sample Standard Deviation 0.58 1.36
N
Treatment Sham
Sample Size 18 18
Sample Mean 0.51 0.39
Sample Standard Deviation 0.82 1.47
O
Treatment Sham
Sample Size 19 19
Sample Mean 0.53 0.46
Sample Standard Deviation 0.77 1.42
P
Treatment Sham
Sample Size 23 23
Sample Mean 0.51 0.45
Sample Standard Deviation 0.81 1.31
Q
Treatment Sham
Sample Size 22 22
Sample Mean 0.53 0.45
Sample Standard Deviation 0.79 1.45
R
Treatment Sham
Sample Size 28 28
Sample Mean 0.57 0.43
Sample Standard Deviation 0.72 1.03
S
Treatment Sham
Sample Size 23 23
Sample Mean 0.48 0.39
Sample Standard Deviation 0.93 1.41
T
Treatment Sham
Sample Size 17 17
Sample Mean 0.57 0.42
Sample Standard Deviation 0.54 1.49
U
Treatment Sham
Sample Size 24 24
Sample Mean 0.54 0.38
Sample Standard Deviation 0.95 1.37
V
Treatment Sham
Sample Size 26 26
Sample Mean 0.53 0.43
Sample Standard Deviation 0.64 1.43
W
Treatment Sham
Sample Size 27 27
Sample Mean 0.56 0.36
Sample Standard Deviation 0.99 1.22
X
Treatment Sham
Sample Size 22 22
Sample Mean 0.54 0.37
Sample Standard Deviation 0.62 1.48
Y
Treatment Sham
Sample Size 22 22
Sample Mean 0.52 0.42
Sample Standard Deviation 0.51 1.25
Z
Treatment Sham
Sample Size 25 25
Sample Mean 0.49 0.37
Sample Standard Deviation 0.56 1.23
