### Hypothesis Testing for Standard Deviation#### Problem StatementA random sample of size 8 from a normal distribution has a standard deviation \( s = 89 \). Test the null hypothesis \( H_0: \sigma = 41 \) versus the alternative hypothesis \( H_1: \sigma < 41 \), using the significance level \( \alpha = 0.05 \).#### Part 1 of 5**Hypotheses:**- Null Hypothesis (\( H_0 \)): \( \sigma = 41 \)- Alternative Hypothesis (\( H_1 \)): \( \sigma < 41 \)**Type of Test:**This hypothesis test is a:\[ \text{left-tailed} \]A left-tailed test is appropriate because the alternative hypothesis \( H_1 \) suggests that the population standard deviation is less than the value specified in the null hypothesis.#### Part 2 of 5**Find the Critical Value:**Critical value:\[ \text{Critical value} = \] (This field is intended for the user to input the calculated critical value for the test.)##### Explanation of Graph:The provided interface appears to allow the user to progress through a series of parts, from 1 to 5, as indicated by the progress bar. In Part 1, users confirm the nature of the hypotheses and the type of test (left-tailed). In Part 2, users must calculate and enter the critical value based on the significance level and the given test conditions.(Note: The field for entering the critical value is currently empty, suggesting that the user is expected to perform the calculation.)

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Description: ### Hypothesis Testing for Standard Deviation#### Problem StatementA random sample of size 8 from a normal distribution has a standard deviation \( s = 89 \). Test the null hypothesis \( H_0: \sigma = 41 \) versus the alternative hypothesis \( H_1:

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A random sample of size 8 from a normal distribution has standard deviation s = 89. Test H:o=41 versus H, :0< 41. Use the a 0.05 level of significance. Part 1 of 5 The hypotheses are provided above. This hypothesis test is a left-tailed test. Part: 1 /5 Part 2 of 5 Find the critical value. Critical value%=

A random sample of size 8 from a normal distribution has standard deviation s = 89. Test H:o=41 versus H, :0< 41. Use the a 0.05 level of significance. Part 1 of 5 The hypotheses are provided above. This hypothesis test is a left-tailed test. Part: 1 /5 Part 2 of 5 Find the critical value. Critical 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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