MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### Determining Critical Values for Tests of a Population Standard Deviation When conducting hypothesis tests concerning a population standard deviation, it's important to determine the critical values using the Chi-Square distribution. Below are different scenarios requiring critical values: **(a) Right-Tailed Test:** - **Degrees of Freedom:** 15 - **Level of Significance (\(\alpha\)):** 0.05 Determine the critical value for this right-tailed test and round to three decimal places as needed. **(b) Left-Tailed Test:** - **Sample Size (n):** 26 - **Level of Significance (\(\alpha\)):** 0.01 Determine the critical value for this left-tailed test and round to three decimal places as needed. **(c) Two-Tailed Test:** - **Sample Size (n):** 24 - **Level of Significance (\(\alpha\)):** 0.05 Determine the critical values for this two-tailed test, and round to three decimal places as needed. Use a comma to separate the answers. **Note:** A Chi-Square distribution table is necessary to find the critical values for the tests outlined above. Depending on your specific requirements, consult a Chi-Square table to get the appropriate critical values.
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Transcribed Image Text:### Determining Critical Values for Tests of a Population Standard Deviation When conducting hypothesis tests concerning a population standard deviation, it's important to determine the critical values using the Chi-Square distribution. Below are different scenarios requiring critical values: **(a) Right-Tailed Test:** - **Degrees of Freedom:** 15 - **Level of Significance (\(\alpha\)):** 0.05 Determine the critical value for this right-tailed test and round to three decimal places as needed. **(b) Left-Tailed Test:** - **Sample Size (n):** 26 - **Level of Significance (\(\alpha\)):** 0.01 Determine the critical value for this left-tailed test and round to three decimal places as needed. **(c) Two-Tailed Test:** - **Sample Size (n):** 24 - **Level of Significance (\(\alpha\)):** 0.05 Determine the critical values for this two-tailed test, and round to three decimal places as needed. Use a comma to separate the answers. **Note:** A Chi-Square distribution table is necessary to find the critical values for the tests outlined above. Depending on your specific requirements, consult a Chi-Square table to get the appropriate critical values.
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