**Educational Exercise: Hypothesis Testing**In this exercise, we will explore the process of hypothesis testing and calculate the test statistic for two different scenarios. **Scenario 1:**You wish to test \( H_0: \mu = 87.5 \) versus \( H_a: \mu \neq 87.5 \) at a significance level of 0.10. You obtain a sample of size 21 with a mean of 84.5 and a standard deviation of 10.4. You believe that the population is normally distributed. Round your answers to three decimal places, and round any interim calculations to four decimal places.- **Question:** What is the test statistic? [Textbox for answer entry]**Scenario 2:**You wish to test \( H_0: \mu = 63.9 \) versus \( H_a: \mu < 63.9 \) at a significance level of 0.10. You obtain a sample of size 28 with a mean of 55.1 and a standard deviation of 16.7. You believe that the population is normally distributed. Round your answers to three decimal places, and round any interim calculations to four decimal places.- **Question:** What is the test statistic? [Textbox for answer entry]**Instructions:**For each scenario:1. Calculate the test statistic using the formula for the one-sample t-test.2. Input the results into the provided text boxes, rounded as instructed. The test statistic will help determine whether to reject the null hypothesis in favor of the alternative hypothesis based on the given significance level.

(a) The hypothesis test is; H0: μ=87.5vs Ha: μ≠87.5significance level(α) = 0.10sample size(n) =…

Answered: You wish to test Ho: μ = 87.5 versus…

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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