etermine the critical values for these tests of a population standard deviation (a) A right-tailed test with 15 degrees of freedom at the a= 0.05 level of signifi (b) A left-tailed test for a sample of size n=26 at the a= 0.01 level of significar (c) A two-tailed test for a sample of size n=24 at the a= 0.05 level of significa Chi C
etermine the critical values for these tests of a population standard deviation (a) A right-tailed test with 15 degrees of freedom at the a= 0.05 level of signifi (b) A left-tailed test for a sample of size n=26 at the a= 0.01 level of significar (c) A two-tailed test for a sample of size n=24 at the a= 0.05 level of significa Chi C
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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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