Sure, here is the transcribed text formatted for an educational website:---### Statistical Hypothesis Testing**Problem 6:** A random sample is selected from a normal population with a mean (\(\mu\)) of 30 and a standard deviation (\(\sigma\)) of 8. After a treatment is administered to the individuals in the sample, the sample mean is found to be \(M = 33\).a. If the sample consists of \(n = 16\) scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with \(\alpha = 0.05\).---This problem involves hypothesis testing, where you determine if the observed sample mean significantly differs from the population mean, indicating a possible effect of the treatment. You will need to calculate the test statistic and compare it to the critical value for a two-tailed test with a significance level of 0.05.Make sure to review how to calculate the test statistic for this scenario and understand the implications of the results in the context of the hypothesis test. b. If the sample consists of \( n = 64 \) scores, is the sample mean sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with \( \alpha = .05 \).c. Comparing your answers for parts a and b, explain how the size of the sample influences the outcome of a hypothesis test.

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Answered: A random sample is selected from a…

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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A random sample is selected from a normal popula- tion with a mean of u = 30 and a standard deviation of o = 8. After a treatment is administered to the %3D individuals in the sample, the sample mean is found to be M = 33. %3D