Use the following data set: 40, 33, 77, 12, 23, 56, 23, 19, 29 (minutes). Assume the data is approximately bell shaped and a sample. **Problem: Hypothesis Testing****Objective:** Test the claim that $ \mu < 15 $ with a confidence level of $ c = 0.90 $.**Instructions:**1. **Sketch the Critical Value:** - To determine the critical value, identify the appropriate distribution (e.g., Z-distribution or t-distribution). Since the significance level is $ \alpha = 0.10 $ (1 - 0.90), find the critical value corresponding to the lower tail of the distribution.2. **Evaluate the Test Statistic:** - Compute the test statistic using the sample data. The formula will depend on the type of data and distribution. 3. **Determine the p-value:** - Calculate the p-value from the test statistic to understand the probability of observing a sample statistic as extreme as the test statistic, assuming that the null hypothesis is true.**Explanation:**- **Test Statistic:** This tells how far the sample statistic is from the hypothesized population parameter in standard error units.- **Critical Value:** This value separates the region where the null hypothesis is rejected from the region where it is not rejected.- **p-value:** This probability helps in making the decision. If the p-value is less than or equal to the significance level, reject the null hypothesis.**Note:** A diagram or graph associated with the distribution curve should illustrate where the critical value and test statistic fall.

h) The claim of the test is that μ<15. The hypothesis is, Null hypothesis: H0:μ≥15 Alternative…

Answered: h) Test the claim of u< 15 and use…

h) Test the claim of u< 15 and use c=.90. Provide a sketch of the Critical Value. Evaluate the Test Statistic and provide the p-value.

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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