-What is the test statistic, t ?-The P-value is l ? **Study on the Effectiveness of Magnets in Treating Back Pain**Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table below 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.**Table of Results:**| | Treatment (µ₁) | Sham (µ₂) ||------------|-----------------|-----------|| n | 12 | 12 || x̄ | 0.55 | 0.38 || s | 0.95 | 1.31 |**Tasks:**a. Using a 0.05 significance level, 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?**- A. - H₀: µ₁ < µ₂ - H₁: µ₁ > µ₂ - B. - H₀: µ₁ = µ₂ - H₁: µ₁ > µ₂ - C. - H₀: µ₁ ≠ µ₂ - H₁: µ₁ = µ₂- D. - H₀: µ₁ ≠ µ₂ - H₁: µ₁ < µ₂The correct choice is marked:- **B.** - **H₀: µ₁ = µ₂** - **H₁: µ₁ > µ₂****Calculate:**The test statistic, t, is [ ] (Round to two decimal places as needed).---This setup helps students understand how to formulate hypotheses and interpret a study using statistical methods.

Given : For sham x̄1 = 0.38 s1 = 1.31 n1 = 12 For treatment x̄2…

Answered: Researchers conducted a study to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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