Determine the critical values for these tests of a population standard deviation. (a) A right-tailed test with 15 degrees of freedom at the a= 0.1 level of significance (b) A left-tailed test for a sample of size n=21 at the a= 0.05 level of significance (c) A two-tailed test for a sample of size n=24 at the a= 0.01 level of significance Click the icon to view a table a critical values for the Chi-Square Distribution. (a) The critical value for this right-tailed test is 22.307 (Round to three decimal places as needed.). (b) The critical value for this left-tailed test is (Round to three decimal places as needed.) Textbook Statcrunch Ask my instructor ... Clear all

MATLAB: An Introduction with Applications
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B & C please C says the critical value for a two tailed sample is :
### Determining Critical Values for Population Standard Deviation Tests

**Determine the critical values for these tests of a population standard deviation.**

1. **A right‐tailed test with 15 degrees of freedom at the α = 0.01 level of significance.**
2. **A left‐tailed test for a sample of size n=21 at the α = 0.05 level of significance.**
3. **A two‐tailed test for a sample of size n=24 at the α = 0.01 level of significance.**

#### Steps for Calculation:

1. **Click the icon to view a table of critical values for the Chi-Square Distribution.**

---

**Solution:**

**(a) The critical value for this right‐tailed test is \( 22.307 \).** \
(Round to three decimal places as needed.)

**(b) The critical value for this left‐tailed test is \( \_ \).** \
(Round to three decimal places as needed.)

---

**Graphical/Diagram Explanation:** 

*There are no graphs or diagrams present in the provided image.* 

---

*Use this information to understand how to determine critical values for different types of hypothesis tests involving population standard deviations.* 

**Additional Resources:**
- Textbook
- Statcrunch
- Ask my instructor

*(Note: Ensure to click on the Chi-Square Distribution critical values table icon for more detailed analyses if needed.)*
Transcribed Image Text:### Determining Critical Values for Population Standard Deviation Tests **Determine the critical values for these tests of a population standard deviation.** 1. **A right‐tailed test with 15 degrees of freedom at the α = 0.01 level of significance.** 2. **A left‐tailed test for a sample of size n=21 at the α = 0.05 level of significance.** 3. **A two‐tailed test for a sample of size n=24 at the α = 0.01 level of significance.** #### Steps for Calculation: 1. **Click the icon to view a table of critical values for the Chi-Square Distribution.** --- **Solution:** **(a) The critical value for this right‐tailed test is \( 22.307 \).** \ (Round to three decimal places as needed.) **(b) The critical value for this left‐tailed test is \( \_ \).** \ (Round to three decimal places as needed.) --- **Graphical/Diagram Explanation:** *There are no graphs or diagrams present in the provided image.* --- *Use this information to understand how to determine critical values for different types of hypothesis tests involving population standard deviations.* **Additional Resources:** - Textbook - Statcrunch - Ask my instructor *(Note: Ensure to click on the Chi-Square Distribution critical values table icon for more detailed analyses if needed.)*
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