Many people believe that the average number of Facebook friends is 135. The population standard deviation is 38.3. A random sample of 34 high school students in a particular county revealed that the average number of Facebook friends was 164. At a=0.10, is there sufficient evidence to conclude that the mean number of friends is greater than 135? Part: 0/5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) ▼ O
Many people believe that the average number of Facebook friends is 135. The population standard deviation is 38.3. A random sample of 34 high school students in a particular county revealed that the average number of Facebook friends was 164. At a=0.10, is there sufficient evidence to conclude that the mean number of friends is greater than 135? Part: 0/5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) ▼ O
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Transcription for Educational Website**
---
**Compute the Test Value:**
- Always round z-score values to two decimal places.
\[ z = \, [\text{Input Box}] \, [\text{Clear Button}] \]
**Progress:**
- Part: 3 / 5
\[ [\text{Progress Bar}] \]
**Make the Decision:**
- Choose the appropriate option for the null hypothesis.
\[ [\text{Dropdown Menu: Choose One}] \, \text{the null hypothesis.} \, [\text{Clear Button}] \]
**Progress:**
- Part: 4 / 5
\[ [\text{Progress Bar}] \]
**Summarize the Results:**
- Evaluate the evidence for the claim regarding Facebook friends.
\[ \text{There} \, [\text{Dropdown Menu: Choose One}] \, \text{enough evidence to support the claim that the mean number of Facebook friends is greater than 135.} \]
---
**Graphical Elements:**
- **Input Box and Buttons:** These are provided for calculating and clearing the test value.
- **Dropdown Menus:** Used to select decisions related to the hypothesis and results.
- **Progress Bars:** Visually indicate the current completion status of the task.
(Note: The dropdown options and exact text for the hypothesis decision are not visible in the image.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00c691a6-cff8-44ab-bee2-37e4e6d888f5%2Fa7b25f0e-2e43-485e-871c-ab8a8fedbb6a%2Flrog6ec_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Transcription for Educational Website**
---
**Compute the Test Value:**
- Always round z-score values to two decimal places.
\[ z = \, [\text{Input Box}] \, [\text{Clear Button}] \]
**Progress:**
- Part: 3 / 5
\[ [\text{Progress Bar}] \]
**Make the Decision:**
- Choose the appropriate option for the null hypothesis.
\[ [\text{Dropdown Menu: Choose One}] \, \text{the null hypothesis.} \, [\text{Clear Button}] \]
**Progress:**
- Part: 4 / 5
\[ [\text{Progress Bar}] \]
**Summarize the Results:**
- Evaluate the evidence for the claim regarding Facebook friends.
\[ \text{There} \, [\text{Dropdown Menu: Choose One}] \, \text{enough evidence to support the claim that the mean number of Facebook friends is greater than 135.} \]
---
**Graphical Elements:**
- **Input Box and Buttons:** These are provided for calculating and clearing the test value.
- **Dropdown Menus:** Used to select decisions related to the hypothesis and results.
- **Progress Bars:** Visually indicate the current completion status of the task.
(Note: The dropdown options and exact text for the hypothesis decision are not visible in the image.)
![**Educational Website Content: Hypothesis Testing Example**
**Overview:**
Many people believe that the average number of Facebook friends is 135. In a study, we analyze whether the true mean number of Facebook friends exceeds this number. The population standard deviation is 38.3, and a random sample of 34 high school students showed an average of 164 Facebook friends. We conduct hypothesis testing at a significance level (\(\alpha\)) of 0.10.
**Objective:**
To determine if there is sufficient evidence to conclude that the mean number of friends is greater than 135.
**Hypothesis Testing Setup:**
**Part 1 of 5: State the Hypotheses**
- Null Hypothesis (\(H_0\)): The average number of Facebook friends \(\mu\) is equal to 135.
- Alternative Hypothesis (\(H_1\)): The average number of Facebook friends \(\mu\) is greater than 135.
This hypothesis test is a right-tailed test.
**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): [Input box for entering values]
**Instructions:**
To calculate the critical value, use the Z-distribution table corresponding to a right-tailed test with \(\alpha = 0.10\). This involves finding the Z-value that marks the boundary of the top 10% of the distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F00c691a6-cff8-44ab-bee2-37e4e6d888f5%2Fa7b25f0e-2e43-485e-871c-ab8a8fedbb6a%2Fm2fbn5q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Educational Website Content: Hypothesis Testing Example**
**Overview:**
Many people believe that the average number of Facebook friends is 135. In a study, we analyze whether the true mean number of Facebook friends exceeds this number. The population standard deviation is 38.3, and a random sample of 34 high school students showed an average of 164 Facebook friends. We conduct hypothesis testing at a significance level (\(\alpha\)) of 0.10.
**Objective:**
To determine if there is sufficient evidence to conclude that the mean number of friends is greater than 135.
**Hypothesis Testing Setup:**
**Part 1 of 5: State the Hypotheses**
- Null Hypothesis (\(H_0\)): The average number of Facebook friends \(\mu\) is equal to 135.
- Alternative Hypothesis (\(H_1\)): The average number of Facebook friends \(\mu\) is greater than 135.
This hypothesis test is a right-tailed test.
**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): [Input box for entering values]
**Instructions:**
To calculate the critical value, use the Z-distribution table corresponding to a right-tailed test with \(\alpha = 0.10\). This involves finding the Z-value that marks the boundary of the top 10% of the distribution.
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