Treatment Sham μ μ1 μ2 n 25 25 x 0.55 0.43 s 0.78 1.42 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1>μ2 B. H0: μ1<μ2 H1: μ1≥μ2 C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1≠ μ2
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Treatment |
Sham |
||
|
μ |
μ1 |
μ2 |
|
|
n |
25 |
25 |
|
|
x |
0.55 |
0.43 |
|
|
s |
0.78 |
1.42 |
a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
What are the null and alternative hypotheses?
A.
H0: μ1=μ2
H1: μ1>μ2
B.
H0: μ1<μ2
H1: μ1≥μ2
C.
H0: μ1≠μ2
H1: μ1<μ2
D.
H0: μ1=μ2
H1: μ1≠ μ2
State the hypotheses.
(a)
That is, there is no evidence to conclude that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
That is, there is evidence to conclude that those treated with magnets have a greater mean
reduction in pain than those given a sham treatment.
Correct option: Option A
Obtain the value of the test statistic.
The value of the test statistic is obtained below:
From the information, given that
Thus, the value of the test statistic is 0.37.
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