Part 3: 3) Identify the critical value(s). If there are multiple critical values, separate them using commas. If using z, round to 2 decimals; if using t, round to 3 decimals. Entor a list of inteder or decimal punnbers (nmere 1

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answer part 3

**Hypothesis Testing Guide**

Suppose you perform the hypothesis test \( H_0: \mu = 25 \) versus \( H_1: \mu \neq 25 \). The population variance, \( \sigma^2 \), is known. The sample size is \( n = 53 \). Assume the significance level is 0.01.

### Part 1:
**1) Selecting the Test Statistic:**

- Determine whether to use \( z \) or \( t \) to find the critical value.
  - **Selection made**: \( z \) is chosen.

### Part 2:
**2) Choosing the Critical Region:**

- Identify the correct critical region from the given options.
  - **Selection made**: Reject \( H_0 \) if \( z < - z_{\alpha/2} \) or \( z > z_{\alpha/2} \).

### Part 3:
**3) Identifying Critical Values:**

- Identify the critical value(s). If there are multiple critical values, separate them using commas. If using \( z \), round to 2 decimals; if using \( t \), round to 3 decimals.
  
  **Hint:** Check if you used the correct number of decimals. If you selected a region with 2 sides, did you provide 2 critical values?

- **Input Prompt**: Enter a list of integer or decimal numbers.
Transcribed Image Text:**Hypothesis Testing Guide** Suppose you perform the hypothesis test \( H_0: \mu = 25 \) versus \( H_1: \mu \neq 25 \). The population variance, \( \sigma^2 \), is known. The sample size is \( n = 53 \). Assume the significance level is 0.01. ### Part 1: **1) Selecting the Test Statistic:** - Determine whether to use \( z \) or \( t \) to find the critical value. - **Selection made**: \( z \) is chosen. ### Part 2: **2) Choosing the Critical Region:** - Identify the correct critical region from the given options. - **Selection made**: Reject \( H_0 \) if \( z < - z_{\alpha/2} \) or \( z > z_{\alpha/2} \). ### Part 3: **3) Identifying Critical Values:** - Identify the critical value(s). If there are multiple critical values, separate them using commas. If using \( z \), round to 2 decimals; if using \( t \), round to 3 decimals. **Hint:** Check if you used the correct number of decimals. If you selected a region with 2 sides, did you provide 2 critical values? - **Input Prompt**: Enter a list of integer or decimal numbers.
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