---### Evaluating the Influence of a Treatment using Normally Distributed Populations**Context**A researcher is evaluating the influence of a treatment using a sample selected from a normally distributed population with:- Mean (μ) = 50- Standard Deviation (σ) = 10The researcher expects a +5-point treatment effect and plans to use a two-tailed hypothesis test with a significance level (α) of 0.05.**Graph Explanation**The image includes a Standard Normal Distribution graph, showcasing a bell curve centered at a mean of 0.0 with a standard deviation of 1.0. The distribution is divided into two halves at the mean:- The left side of the curve (shaded in blue) represents the lower half, with an area of 0.5000.- The right side of the curve (shaded in brown) represents the upper half, also with an area of 0.5000.**Steps to Compute the Power of the Test:**1. **Computing the power of the test for n = 4 individuals:** - The power for the test is the probability of obtaining a z-score [greater/less] than [z-value], which corresponds to p = [p-value]. - Thus, the power of the test is [percentage]%.2. **Computing the power of the test for n = 25 individuals:** - The power for the test is the probability of obtaining a z-score [greater/less] than [z-value], which corresponds to p = [p-value]. - Thus, the power of the test is [percentage]%.**Interactive Component**Students can dynamically control the z-value and see corresponding changes in p-value, enhancing their understanding of statistical power within hypothesis testing.---**Note:** Be sure to include actual z-values and p-values based on the specific analysis and computations performed.

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Compute the power of the test if the researcher uses a sample of n = 4 individuals. The power for the test is the probability of obtaining a z-score than , which corresponds to p = Thus, the power of the test is %. Compute the power of the test if the researcher uses a sample of n = 25 individuals. The power for the test is the probability of obtaining a z-score than which corresponds to p = Thus, the %3D power of the test is 이0.

Compute the power of the test if the researcher uses a sample of n = 4 individuals. The power for the test is the probability of obtaining a z-score than , which corresponds to p = Thus, the power of the test is %. Compute the power of the test if the researcher uses a sample of n = 25 individuals. The power for the test is the probability of obtaining a z-score than which corresponds to p = Thus, the %3D power of the test is 이0.

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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Pre (out of 100) Final (out of 200) Individual 63 130 1 Individual 80 137 2 Individual 56 139 3 Individual 17 116 4 Individual 54 153 Sample Мean 54 135 STD DEV 23.0759615 13.5092561
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