(a) State the null and alternative hypotheses.Ho= Ha=(b) Give the notation for the sample statistic.statistic symbol-statistic symbol(c) Give the value for the sample statistic.Value=#Use the randomization distribution to estimate the p-value?p-value=# If You Break an Arm, Use Your Brain!Multiple studies are helping us understand the power of the mind on the body. One such study' examines the effect of imagery onmuscle strength. In the study, 29 healthy individuals underwent four weeks of wrist immobilization to induce weakness. Half of theparticipants were randomly assigned to mentally imagine strong muscle contractions in that arm (without actually moving the arm.) Atthe end of the four weeks, the percentage decrease in muscle strength was measured for all the participants, and we are testing to seeif mean decrease is greater for people who do not use mental imaging when muscles are immobilized than for people who do. For the15 participants not using any mental imagery, the mean percent decrease in muscle strength was 51.2 while for the 14 participantsusing imagery, it was 24.5. A randomization distribution of differences in means (mean decrease with no imagery minus meandecrease with imagery) using 1000 simulated samples is shown in the figure below.Let group 1 be those who do no imagery and let group 2 be those who do imagery.302010......-30-25-20-15-10510152025null = 0Clark BC, et al., "The power of the mind: the cortex as a critical determinant of muscle strength/weakness," J Neurophysiol, 112:32193226, October, 2014.

Given dataIn the study 29 healthy individuals underwent four weeks of wrist immobilization to induce…

(a) State the null and alternative hypotheses. Ho= Ha= (b) Give the notation for the sample statistic. statistic symbol-statistic symbol (c) Give the value for the sample statistic. Value=# Use the randomization distribution to estimate the p-value? p-value=#

(a) State the null and alternative hypotheses. Ho= Ha= (b) Give the notation for the sample statistic. statistic symbol-statistic symbol (c) Give the value for the sample statistic. Value=# Use the randomization distribution to estimate the p-value? p-value=#

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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Question

(a) State the null and alternative hypotheses.
Ho= Ha=

(b) Give the notation for the sample statistic.
statistic symbol-statistic symbol

Value=#

Use the randomization distribution to estimate the p-value?

p-value=#

If You Break an Arm, Use Your Brain!
Multiple studies are helping us understand the power of the mind on the body. One such study' examines the effect of imagery on
muscle strength. In the study, 29 healthy individuals underwent four weeks of wrist immobilization to induce weakness. Half of the
participants were randomly assigned to mentally imagine strong muscle contractions in that arm (without actually moving the arm.) At
the end of the four weeks, the percentage decrease in muscle strength was measured for all the participants, and we are testing to see
if mean decrease is greater for people who do not use mental imaging when muscles are immobilized than for people who do. For the
15 participants not using any mental imagery, the mean percent decrease in muscle strength was 51.2 while for the 14 participants
using imagery, it was 24.5. A randomization distribution of differences in means (mean decrease with no imagery minus mean
decrease with imagery) using 1000 simulated samples is shown in the figure below.
Let group 1 be those who do no imagery and let group 2 be those who do imagery.
30
20
10
...
...
-30
-25
-20
-15
-10
5
10
15
20
25
null = 0
Clark BC, et al., "The power of the mind: the cortex as a critical determinant of muscle strength/weakness," J Neurophysiol, 112:
32193226, October, 2014.

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