Many people believe that the average number of Facebook friends is 145. The population standard deviation is 36.6. A random sample of 46 high school students in a particular county revealed that the average number of Facebook friends was 149. At a=0.01, is there sufficient evidence to conclude that the mean number of friends is greater than 145? Part: 0/5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) ▼ D=0 H: (Choose one) ▼ This hypotheses test is a (Choose one) v test. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas. Critical value(s):

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Transcription for Educational Website**

---

### Statistical Analysis Activity: Hypothesis Testing

**Compute the Test Value**
- Always round z score values to two decimal places.
- z = [Input Box]

**Part: 3 / 5**

**Make the Decision**
- Choose whether to reject or fail to reject the null hypothesis.
- [Dropdown Box] the null hypothesis. [Buttons: X (cancel), Reset]

**Part: 4 / 5**

**Summarize the Results**
- Discuss whether there is enough evidence to support the claim.
- There [Dropdown Box] enough evidence to support the claim that the mean number of Facebook friends is greater than 145. [Buttons: X (cancel), Reset]

**Progress Indicator**
- Part 3 and Part 4 show a progress bar indicating the current stage in the 5-part process. Both are partially filled, corresponding to steps 3 and 4 completion.

---

This exercise guides students through the process of computing and analyzing a hypothesis test, enhancing their understanding of statistical testing concepts.
Transcribed Image Text:**Transcription for Educational Website** --- ### Statistical Analysis Activity: Hypothesis Testing **Compute the Test Value** - Always round z score values to two decimal places. - z = [Input Box] **Part: 3 / 5** **Make the Decision** - Choose whether to reject or fail to reject the null hypothesis. - [Dropdown Box] the null hypothesis. [Buttons: X (cancel), Reset] **Part: 4 / 5** **Summarize the Results** - Discuss whether there is enough evidence to support the claim. - There [Dropdown Box] enough evidence to support the claim that the mean number of Facebook friends is greater than 145. [Buttons: X (cancel), Reset] **Progress Indicator** - Part 3 and Part 4 show a progress bar indicating the current stage in the 5-part process. Both are partially filled, corresponding to steps 3 and 4 completion. --- This exercise guides students through the process of computing and analyzing a hypothesis test, enhancing their understanding of statistical testing concepts.
**Image Text Transcription and Explanation**

**Context**: This exercise explores hypothesis testing regarding the average number of Facebook friends. 

**Problem Statement:**
Many people believe that the average number of Facebook friends is 145. The population standard deviation is 36.6. A random sample of 46 high school students in a particular county revealed that the average number of Facebook friends was 149. At \(\alpha = 0.01\), is there sufficient evidence to conclude that the mean number of friends is greater than 145?

**Questions and Interactive Elements:**

**Part 0 of 5**: [Progress bar not filled]

**Part 1 of 5:**
- **Task:** State the hypotheses and identify the claim with the correct hypothesis.

**Interactive Options:**
- \(H_0\) (Null Hypothesis) and \(H_1\) (Alternative Hypothesis) selection boxes with options:
  - \(\mu =\)
  - \(\mu \neq\)
  - \(\mu >\)
  - \(\mu <\)

- **Dropdown to specify** if this hypothesis test is a one-tailed or two-tailed test.

**Graphical Explanation**:
The graphical box presents population mean symbol \(\mu\) with selection checkboxes for different hypothesis scenarios, indicating a decision between various relational operators for hypothesis formulation.

**Part 1/5**: [Progress bar slightly filled]

**Part 2 of 5:**
- **Task:** Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas.

**Interactive Option:**
- Enter critical value(s) in a given input box.

This exercise involves statistical hypothesis testing, requiring students to propose and evaluate hypotheses about the average number of Facebook friends using population parameters and sample statistics.
Transcribed Image Text:**Image Text Transcription and Explanation** **Context**: This exercise explores hypothesis testing regarding the average number of Facebook friends. **Problem Statement:** Many people believe that the average number of Facebook friends is 145. The population standard deviation is 36.6. A random sample of 46 high school students in a particular county revealed that the average number of Facebook friends was 149. At \(\alpha = 0.01\), is there sufficient evidence to conclude that the mean number of friends is greater than 145? **Questions and Interactive Elements:** **Part 0 of 5**: [Progress bar not filled] **Part 1 of 5:** - **Task:** State the hypotheses and identify the claim with the correct hypothesis. **Interactive Options:** - \(H_0\) (Null Hypothesis) and \(H_1\) (Alternative Hypothesis) selection boxes with options: - \(\mu =\) - \(\mu \neq\) - \(\mu >\) - \(\mu <\) - **Dropdown to specify** if this hypothesis test is a one-tailed or two-tailed test. **Graphical Explanation**: The graphical box presents population mean symbol \(\mu\) with selection checkboxes for different hypothesis scenarios, indicating a decision between various relational operators for hypothesis formulation. **Part 1/5**: [Progress bar slightly filled] **Part 2 of 5:** - **Task:** Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas. **Interactive Option:** - Enter critical value(s) in a given input box. This exercise involves statistical hypothesis testing, requiring students to propose and evaluate hypotheses about the average number of Facebook friends using population parameters and sample statistics.
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