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Researchers conducted a study to determine whether magnets are effective in trea

ID: 3223539 • Letter: R

Question

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 the parts below:

Use a .05 significance level, and 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?

The test statistic, t, is

The P-value is

State the conclusion for the test.

Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?

Since the (sample mean or sample standard deviation) for those treated with magnets is (less than, equal to, or greater than) the sample mean for those given a sham treatment, it

(is or is not) valid to argue that magnets might appear to be effective if the sample sizes are larger.

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 the parts below:

Use a .05 significance level, and 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?

The test statistic, t, is

The P-value is

State the conclusion for the test.

Is it valid to argue that magnets might appear to be effective if the sample sizes are larger?

Since the (sample mean or sample standard deviation) for those treated with magnets is (less than, equal to, or greater than) the sample mean for those given a sham treatment, it

(is or is not) valid to argue that magnets might appear to be effective if the sample sizes are larger.

Treatment Sharm 15 15 X 0.52 0.39 S 0.933 27

Explanation / Answer

we have to determine whether magnets are effective in treating back pain

as The results are a measure of reduction in back pain

option D) is correct

Pooled Standard Deviation: sqrt(s1^2 +s2^2)/2) = 1.1131 {n1 =n2}
Pooled DF: = (n1+n2-2) = 28

T-Value = ( X1bar - X2bar) /(s*sqrt(2/n)) = (0.52-0.39)/(1.1131*sqrt(2/15)) = 0.3198

Population 1 > Population 2: P-Value = P(t > 0.3198) =1- 0.6243 =0.3757

since p-value is larger than 0.05 ,level of significance, we can not reject the null hypothesis.

Since we failed to reject the null hypothesis, it appears that magnets are not effective in treating back pain.If a larger sample size was used, theresults may be different.However, there is no guarantee

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