### Statistical Hypothesis Testing**Problem Statement:**i) Test the claim of $ \mu > 2015 $ and use $ \alpha = 0.10 $. Provide a sketch of the Critical Value. Evaluate the Test Statistic and provide the p-value. Only for this part, use $ \sigma = 23.8 $.**Solution Guide:**1. **Set up the Hypothesis:** - Null Hypothesis ($ H_0 $): $ \mu \leq 2015 $ - Alternative Hypothesis ($ H_a $): $ \mu > 2015 $2. **Determine the Critical Value:** - Since the test is right-tailed, use a significance level ($ \alpha $) of 0.10. - Find the critical value from the standard normal distribution table corresponding to $ \alpha = 0.10 $.3. **Calculate the Test Statistic:** - Use the formula for the z-test statistic: \[ z = \frac{\bar{x} - \mu}{\sigma/\sqrt{n}} \] - Plug in the known values to find the z-value.4. **P-Value and Decision:** - Use the standard normal distribution to find the p-value. - Compare the p-value to the significance level ($ \alpha $).5. **Sketch of Critical Value:** - Diagram illustrating the normal distribution curve. - Highlight the critical region on the far right-hand side representing 10% of the area under the curve.**Conclusion:**Based on the calculated test statistic and p-value, determine if there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.**Note:** Detailed steps with numerical calculations should be carried out with specific data values if provided. 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.

Sample data set = 40 , 33 , 77 , 12 , 23 , 56 , 23 , 19 , 29 ( inminutes)…

Answered: i) Test the claim of u> 2015 and use…

i) Test the claim of u> 2015 and use c=.90. Provide a sketch of the Critical Value. Evaluate the Test Statistic and provide the p-value. Only for this part use o = 23.8

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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