You wish to test the following claim ($ H_a $) at a significance level of $ \alpha = 0.001 $.$ H_0: \mu = 81.6 $ $ H_a: \mu \neq 81.6 $You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:| | Column A | Column B | Column C | Column D | Column E ||-------|----------|----------|----------|----------|----------|| **1** | 86.6 | 83.3 | 100.9 | 82.4 | 80.4 || **2** | 85 | 69.1 | 79.8 | 79.3 | 75.3 || **3** | 88.5 | 76.3 | 79.8 | 75.5 | 76.5 || **4** | 80 | 65.9 | 94.9 | 73.9 | 72 || **5** | 73.3 | 77.5 | 97 | 84.5 | 84.5 || **6** | 82.9 | 80.9 | 70.5 | 83.8 | 76.3 || **7** | 78.4 | 94.1 | 94.9 | 88.8 | 94.1 || **8** | 91.2 | 76.5 | 88.1 | 94.1 | 71.7 || **9** | 82.9 | 87.8 | 86.6 | 86.6 | 92.8 || **10**| 81.1 | 80.9 | 91.2 | 80.2 | 84 || **11**| 88.5 | 88.5 | 72.4 | 83.8 | 70.1 |What is the test statistic for this sample? (Report answer

Given: Null and Alternative hypotheses H0: μ=81.6Ha: μ≠81.6 Data 86.6 85 88.5 80 73.3…

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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You wish to test the following claim (Ha) at a significance level of a = 0.02. || 74.4 Ha:µ + 74.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D Column E 82.1 86.3 73.9 81.8 66.3 56.6 73.4 74.7 78.5 93.6 60 79.8 71.4 76.3 86.8 60 82.1 69.6 87.7 79.5 96.1 88.2 97.9 81.8 66.7 72 86.3 82.1 78.7 57.9 79.3 62.9 85.5 75 75.5 71.1 64 71.7 62.3 86.3 69.2 80.9 85.2 75.8 88.2 83.7 65.9 63.5 86.3 67.1 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
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