MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Question
100%

A.) What is the sample mean difference in inflammation between no massage and massage?

sample mean difference=?(exact number)

B.)We want to test to see if the population mean difference is greater than zero, meaning muscle with no treatment has more inflammation than muscle that has been massaged.

State the null and alternative hypothesis

Ho=      Ha=

C.)Use StatKey or other technology to find the P-value from a randomization distribution.
P-value=?
Round your answer to three decimal places.

We want to test to see if the population mean difference \( \mu_D \) is greater than zero, meaning muscle with no treatment has more inflammation than muscle that has been massaged. State the null and alternative hypotheses. Use \( \mu \) instead of \( \mu_D \) to answer this question. Equation Editor: \[ = \quad \neq \quad < \quad > \quad \mu \quad \mu_1 \quad \mu_2 \quad p \quad p_1 \quad p_2 \quad 0 \quad \rho \quad \bar{x} \quad \bar{x}_1 \quad \bar{x}_2 \quad \hat{p} \quad \hat{p}_1 \quad \hat{p}_2 \quad r \] Formulate: \[ H_0: \quad \_ \quad \_ \quad \_ \quad \text{vs} \quad H_a: \quad \_ \quad \_ \quad \_ \]
expand button
Transcribed Image Text:We want to test to see if the population mean difference \( \mu_D \) is greater than zero, meaning muscle with no treatment has more inflammation than muscle that has been massaged. State the null and alternative hypotheses. Use \( \mu \) instead of \( \mu_D \) to answer this question. Equation Editor: \[ = \quad \neq \quad < \quad > \quad \mu \quad \mu_1 \quad \mu_2 \quad p \quad p_1 \quad p_2 \quad 0 \quad \rho \quad \bar{x} \quad \bar{x}_1 \quad \bar{x}_2 \quad \hat{p} \quad \hat{p}_1 \quad \hat{p}_2 \quad r \] Formulate: \[ H_0: \quad \_ \quad \_ \quad \_ \quad \text{vs} \quad H_a: \quad \_ \quad \_ \quad \_ \]
**Does Massage Help Heal Muscles Strained by Exercise?** After exercise, massage is often used to relieve pain, and a recent study¹ shows that it also may relieve inflammation and help muscles heal. In the study, eleven male participants who had just strenuously exercised had 10 minutes of massage on one quadricep and no treatment on the other, with treatment randomly assigned. After 2.5 hours, muscle biopsies were taken and production of the inflammatory cytokine interleukin-6 was measured relative to the resting level. The differences (control minus massage) are given in Table 1 below. ``` +-----+-----+-----+-----+-----+------+-----+-----+ | 0.6 | 4.7 | 3.8 | 0.4 | 1.5 | -1.2 | 2.8 | -0.4 | 1.4 | 3.5 | -2.8 | +-----+-----+-----+-----+-----+------+-----+-----+ ``` *Table 1: Inflammation in muscle: control minus massage* ¹ Data approximated from summary statistics in Crane, et al., "Massage Therapy Attenuates Inflammatory Signaling After Exercise-Induced Muscle Damage," *Science Translational Medicine*, 1 February 2012. Click [here](#) to access StatKey.
expand button
Transcribed Image Text:**Does Massage Help Heal Muscles Strained by Exercise?** After exercise, massage is often used to relieve pain, and a recent study¹ shows that it also may relieve inflammation and help muscles heal. In the study, eleven male participants who had just strenuously exercised had 10 minutes of massage on one quadricep and no treatment on the other, with treatment randomly assigned. After 2.5 hours, muscle biopsies were taken and production of the inflammatory cytokine interleukin-6 was measured relative to the resting level. The differences (control minus massage) are given in Table 1 below. ``` +-----+-----+-----+-----+-----+------+-----+-----+ | 0.6 | 4.7 | 3.8 | 0.4 | 1.5 | -1.2 | 2.8 | -0.4 | 1.4 | 3.5 | -2.8 | +-----+-----+-----+-----+-----+------+-----+-----+ ``` *Table 1: Inflammation in muscle: control minus massage* ¹ Data approximated from summary statistics in Crane, et al., "Massage Therapy Attenuates Inflammatory Signaling After Exercise-Induced Muscle Damage," *Science Translational Medicine*, 1 February 2012. Click [here](#) to access StatKey.
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