Question
Please I need help to answer the last part in the question (part b), The confidence interval. Thanks Researchers conducted a study to determine whether
Please I need help to answer the last part in the question (part b), The confidence interval. Thanks
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. Complete parts (a) and (b) below. | Treatment | Sham | |||
---|---|---|---|---|---|
1 | 2 | ||||
n | 22 | 22 | |||
x | 0.53 | 0.44 | |||
s | 0.82 | 1.17 |
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:
1=2
H1:
12
B.
H0:
1<2
H1:
12
C.
H0:
1=2
H1:
1>2
Your answer is correct.
D.
H0:
12
H1:
1<2
The test statistic, t, is
0.300.30.
(Round to two decimal places as needed.)
The P-value is
0.3830.383.
(Round to three decimal places as needed.)
State the conclusion for the test.
Fail to reject
the null hypothesis. There
is not
sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?
Since the
sample mean
for those treated with magnets is
greater than
the sample mean for those given a sham treatment, it
is
valid to argue that magnets might appear to be effective if the sample sizes are larger.
b. Construct a confidence interval suitable for testing the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.
enter your response here<12 (Round to three decimal places as needed.)
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