2 Find the critical values x and x² for the given level of XL confidence and sample size. Use three decimal places. Hint: If you get the wrong answer, try switching your answers around. a) 90% confidence, n=20; xv= 2 x²z= b) 99% confidence, n=14; 2 XU= XL 3.5X c) 95% confidence, n=25; 2 X= 29. X XL x=|29.x

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Finding Critical Chi-Square Values**

For a given level of confidence and sample size, it's crucial to determine the critical values of chi-square (χ²) for both the upper (χ²ᵁ) and lower (χ²ᴸ) bounds. These values are essential in statistical analysis, especially in hypothesis testing.

### Instructions:
- **Use three decimal places for accuracy.**
- **Hint:** If your answers seem incorrect, try switching them.

### Exercises:

#### a) For 90% confidence, with a sample size \( n = 20 \):
- **Upper Critical Value (χ²ᵁ):** [Enter value]
- **Lower Critical Value (χ²ᴸ):** [Enter value]

#### b) For 99% confidence, with a sample size \( n = 14 \):
- **Upper Critical Value (χ²ᵁ):** [Enter value]
- **Lower Critical Value (χ²ᴸ):** 3.5 (Incorrect)

#### c) For 95% confidence, with a sample size \( n = 25 \):
- **Upper Critical Value (χ²ᵁ):** 29 (Incorrect)
- **Lower Critical Value (χ²ᴸ):** 29 (Incorrect)

The provided answers in some cases are incorrect, as indicated by the red "X." Double-check calculations and ensure all values correctly correspond to the respective chi-square distribution tables.
Transcribed Image Text:**Finding Critical Chi-Square Values** For a given level of confidence and sample size, it's crucial to determine the critical values of chi-square (χ²) for both the upper (χ²ᵁ) and lower (χ²ᴸ) bounds. These values are essential in statistical analysis, especially in hypothesis testing. ### Instructions: - **Use three decimal places for accuracy.** - **Hint:** If your answers seem incorrect, try switching them. ### Exercises: #### a) For 90% confidence, with a sample size \( n = 20 \): - **Upper Critical Value (χ²ᵁ):** [Enter value] - **Lower Critical Value (χ²ᴸ):** [Enter value] #### b) For 99% confidence, with a sample size \( n = 14 \): - **Upper Critical Value (χ²ᵁ):** [Enter value] - **Lower Critical Value (χ²ᴸ):** 3.5 (Incorrect) #### c) For 95% confidence, with a sample size \( n = 25 \): - **Upper Critical Value (χ²ᵁ):** 29 (Incorrect) - **Lower Critical Value (χ²ᴸ):** 29 (Incorrect) The provided answers in some cases are incorrect, as indicated by the red "X." Double-check calculations and ensure all values correctly correspond to the respective chi-square distribution tables.
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