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 | shamμ | μ1 | μ2n | 25 |25x | 0.52 | 0.41s | 0.97 | 1.03a. use a 0.05 significance level, and test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.1. what are the null and alternative hypotheses? a. h0: μ1= μ2h1: μ1≠ μ2b. h0: μ1 < μ2h1: μ1 ≥ μ2c. h0: μ1 = μ2h1: μ1 > μ2d. h0: μ1 ≠ μ2h1: μ1< μ22. the test statistic, is to two decimal places as needed.)3. the p-value is to three decimal places as needed.)4. state the conclusion for the the null hypothesis. there sufficient evidence to support the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment.5. is it valid to argue that magnets might appear to be effective if the sample sizes are larger? since the for those treated with magnets is the sample mean for those given a sham treatment, it 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 < μ1−μ2 < to three decimal places as needed.)