### T-Test for Population MeanIn this exercise, a t-test is performed to test a claim about a population mean (\(\mu\)) at a given level of significance (\(\alpha\)), using specific sample statistics provided. The population is assumed to be normally distributed.#### Given Data:- **Claim:** \(\mu = 52,600\)- **Level of Significance:** \(\alpha = 0.10\)- **Sample Statistics:** - Sample Mean (\(\bar{x}\)) = 52,489 - Sample Standard Deviation (\(s\)) = 1400 - Sample Size (\(n\)) = 19#### Hypotheses:Select the correct null and alternative hypotheses from the options below:- **Option A:** - \(H_0: \mu \leq 52,600\) - \(H_a: \mu > 52,600\)- **Option B:** - \(H_0: \mu = 52,600\) - \(H_a: \mu \neq 52,600\) ✔️ (Correct Answer)- **Option C:** - \(H_0: \mu \geq 52,600\) - \(H_a: \mu < 52,600\)- **Option D:** - \(H_0: \mu \neq 52,600\) - \(H_a: \mu = 52,600\)#### Calculating the Standardized Test Statistic:To find the value of the standardized test statistic, enter the calculation result in the provided field. Make sure to round your answer to two decimal places.\[ \text{The standardized test statistic is } \boxed{\phantom{0}} \]The interface includes a t-distribution table icon to assist with finding critical values for hypothesis testing.

The clam is that about the population mean at the given level of significance using the given sample…

Answered: What is the value of the standardized…

What is the value of the standardized test statistic? The standardized test statistic is Round to two decimal places as needed.)

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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