Math  /  Data & Statistics

QuestionATH-1530-L40 - Introductory Statistics Tiffany Poynter 11/24/24 8:35 PM
Homework: 9-2 Two Means: Independent Samples (2-Samp T-Test) Question 2, 9.2.11-T HW Score: 0\%, 0 of 15 points Save uestion list
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Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below.
Reduction in Pain Level After Magnet Treatment (μ1):n=24,xˉ=0.57,s=0.88\left(\mu_{1}\right): n=24, \bar{x}=0.57, s=0.88 Reduction in Pain Level After Sham Treatment (μ2):n=24,xˉ=0.49,s=1.41\left(\mu_{2}\right): n=24, \bar{x}=0.49, s=1.41 to a placebo). What are the null and alternative hypotheses? A. H0:μ1=μ2\mathrm{H}_{0}: \mu_{1}=\mu_{2} H1:μ1μ2H_{1}: \mu_{1} \neq \mu_{2} B. H0:μ1=μ2H_{0}: \mu_{1}=\mu_{2} H1:μ1>μ2H_{1}: \mu_{1}>\mu_{2} C. H0:μ1<μ2H_{0}: \mu_{1}<\mu_{2} D. H0:μ1μ2H1:μ1<μ2\begin{array}{l} H_{0}: \mu_{1} \neq \mu_{2} \\ H_{1}: \mu_{1}<\mu_{2} \end{array}
The test statistic, tt, is \square (Round to two decimal places as needed.) View instructor tip Help me solve this Get more help - Clear all Check answer Type here to search

Studdy Solution
The test statistic is approximately **0.24**.

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