Snam 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 u 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. In 20 20 0.39 0.48 0.93 1.35 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? O A. Ho H 2 H 2 OC. Ho =2 OD. Ho <2 H, Z2 The test statistic, t, is . (Round to two decimal places as needed.) The P-value is - (Round to three decimal places as needed.) State the conclusion for the test. (1) the null hypothesis. There (2) - 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 (3). for those treated with magnets is (4). the sample mean for those given a sham treatment, it (5). 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. (Round to three decimal places as needed.) O Reject O Fail to reject (5) O is not O is (1) (2) O is O is not (3) O sample mean O sample standard deviation (4) O less than O greater than O egual to
Snam 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 u 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. In 20 20 0.39 0.48 0.93 1.35 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? O A. Ho H 2 H 2 OC. Ho =2 OD. Ho <2 H, Z2 The test statistic, t, is . (Round to two decimal places as needed.) The P-value is - (Round to three decimal places as needed.) State the conclusion for the test. (1) the null hypothesis. There (2) - 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 (3). for those treated with magnets is (4). the sample mean for those given a sham treatment, it (5). 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. (Round to three decimal places as needed.) O Reject O Fail to reject (5) O is not O is (1) (2) O is O is not (3) O sample mean O sample standard deviation (4) O less than O greater than O egual to
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:Treatment
Sham
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 u
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.
H1
H2
In
20
20
X
0.48
0.39
0.93
1.35
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?
O A. Ho: H1 H2
'B. Ho: H1 =H2
H: 41 > H2
H1: H1< H2
O C. Ho: H1 =H2
D. Ho: H1 <H2
The test statistic, t, is
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
State the conclusion for the test.
(1)
the null hypothesis. There (2)
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 (3)
for those treated with magnets is (4)
the sample mean for those given a sham treatment, it (5)
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.
< H1 - H2 <
(Round to three decimal places as needed.)
O Reject
O Fail to reject
(5) O is not
O is
(1)
(2)
O is
(3)
sample mean
(4)
less than
O is not
O sample standard deviation
O greater than
equal to
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