Sham Treatment 5. 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. H2 27 27 0.42 0.47 1.38 0.95 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 B. Ho: H1 #H2 O A. 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. the null hypothesis. There (2) sufficient evidence to support the claim that those (1). 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 valid to argue that magnets might appear to be effective if the sample sizes are sham treatment, it (5) 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.
Sham Treatment 5. 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. H2 27 27 0.42 0.47 1.38 0.95 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 B. Ho: H1 #H2 O A. 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. the null hypothesis. There (2) sufficient evidence to support the claim that those (1). 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 valid to argue that magnets might appear to be effective if the sample sizes are sham treatment, it (5) 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.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Transcribed Image Text:Sham
Treatment
5. 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.
27
n
27
0.42
0.47
1.38
0.95
a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pa
than those given a sham treatment.
What are the null and alternative hypotheses?
O A. Ho: H1< H2
H1: H1 2 H2
O B. Ho: H1 #P2
H1: H1 <H2
O C. Ho: H1 = H2
H1: H1 +H2
O D. Ho: H1 = H2
H1: 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.
the null hypothesis. There (2).
sufficient evidence to support the claim that those
(1).
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
valid to argue that magnets might appear to be effective if the sample sizes are
sham treatment, it (5)
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.)
(3) O sample standard deviation
O sample mean
O equal to
O less than
O is
(4)
(1) O Fail to reject
O Reject
(2)
O is not
O greater than
O is
(5)
O is not
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