Question

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 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. Use a 0.05 significance level for both parts. Hg: H₂ 2H2 The test statistic, t, is 0.26. (Round to two decimal places as needed.) The P-value is 0.399. (Round to three decimal places as needed.) State the conclusion for the test. Fall 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? is valid to argue that Since the sample mean for those treated with magnets is greater than we sample mean for those given a sham treatment, it 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 treatment. (Round to three decimal places as needed.)

Answer 1

7 2 nin nen2 Ho: "=2 versus Ha: Mix Me. pooled spe=(n-1), ²+(22-1) s silta (0.177+ (122) in (1-1+ (h2-1) - Sp² 20.90665. The test statistic t-(51-72) = 0.47-0.38 - 10.26 v spicchita Vo. gotbult, tis) p-value - 20-3997 There on fail to reject the hull hypornis lis not subficient evidence to support the claim. The 90%. Confidence (dt=29 interrd for Milz -) (tais. Jos teint fra) =(0.47-0.38) + ( 1.701x ſo. 9otts (tyt tos) ) The 90%. I i 5-00501] <Mitte < 10.681 (6)