**(b)** A random sample of size 30 is taken from a population that is assumed to have a standard deviation of 5. The standard deviation of the sample mean is \( \frac{5}{\sqrt{30}} \).**(c)** A study with \( \bar{x} = 45 \) reports statistical significance for \( H_a: \mu > 50 \).**(d)** A researcher tests the hypothesis \( H_0: \mu = 350 \) and concludes that the population mean is equal to 350. ### 6.52 What's Wrong?Here are several situations where there is an incorrect application of the ideas presented in this section. Write a short paragraph explaining what is wrong in each situation and why it is wrong.**(a)** A researcher tests the following null hypothesis: \( H_0: \bar{x} = 23 \). ---### Explanation:In situation (a), the null hypothesis \( H_0: \bar{x} = 23 \) is incorrect because the symbol \( \bar{x} \) typically represents the sample mean, which is a statistic calculated from the data. In hypothesis testing, the null hypothesis should be stated in terms of a population parameter, such as the population mean \( \mu \). A correct formulation of the null hypothesis might be \( H_0: \mu = 23 \). This distinction is important because hypothesis testing is used to make inferences about population parameters, not sample statistics.

Answered: Image /qna-images/answer/92b88fcb-a998-4b95-aed2-a76d97556ca6.jpg

Answered: (b) A random sample of size 30 is taken…

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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