**Hypothesis Testing Example**In this example, we aim to test the following claim ($H_a$) at a significance level of $\alpha = 0.01$:- Null Hypothesis ($H_0$): $\mu = 82.5$- Alternative Hypothesis ($H_a$): $\mu > 82.5$**Problem Statement:**You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size $n = 79$ with a mean of $M = 84.5$ and a standard deviation of $SD = 15.9$.**Tasks:**1. Determine the critical value for the test.2. Calculate the test statistic for the sample.3. Determine if the test statistic falls within the critical region.**Critical Value Calculation:**What is the critical value for this test? (Report the answer accurate to three decimal places.)\[ \text{Critical value} = \]**Test Statistic Calculation:**What is the test statistic for this sample? (Report the answer accurate to three decimal places.)\[ \text{Test statistic} = \]**Conclusion:**The test statistic is...- ( ) in the critical region- ( ) not in the critical regionBy completing these steps, you can determine whether the test statistic falls within the critical region and thus make a decision about the null hypothesis $H_0$.

The null and alternative hypotheses are:H0: μ = 82.5H1: μ > 82.5

Answered: You wish to test the following claim…

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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