Many students brag that they have more than 150 friends on a social media platform. For a class project, a group of students asked a random sample of 13 students at their college who used the social media platform about their number of friends and got the data available below. Is there strong evidence that the mean number of friends for the student population at the college who use the social media platform is larger than 150? Use the Inference for a Population Mean web app to complete parts a through d below. Be sure to use the data in this exercise and not the preloaded data when using the web app. Click the icon to view the data about the numbers of friends. OA. The proportion of students at the college who use the social media platform that have more than 150 friends OB. The mean number of friends that students have on the social media platform OC. The mean number of students at the college that use the social media platform D. The number of friends that students have on the social media platform O E. The number of students that use the social media platform What is the parameter? OA. The proportion of students at the college who use the social media platform that have more than 150 friends OB. The mean number of friends for people who use the social media platform OC. The proportion of students at the college that use the social media platform D. The mean number of friends for students at the college who use the social media website O E. The number of friends for students at the college who use the social media platform b. State the null and alternative hypotheses. HoiH= 150 150 H₂H > (Type integers or decimals. Do not round.) c. Find and interpret the test statistic value. t= (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Numbers of Friends**

The data below represents the number of friends individuals have on a social networking platform. Each number symbolizes a different individual's count of friends.

- 250
- 255
- 230
- 185
- 250
- 95
- 120
- 20
- 260
- 95
- 160
- 40
- 175

This dataset can be used to analyze social connectivity and explore patterns such as averages, medians, or common ranges.
Transcribed Image Text:**Numbers of Friends** The data below represents the number of friends individuals have on a social networking platform. Each number symbolizes a different individual's count of friends. - 250 - 255 - 230 - 185 - 250 - 95 - 120 - 20 - 260 - 95 - 160 - 40 - 175 This dataset can be used to analyze social connectivity and explore patterns such as averages, medians, or common ranges.
**Educational Resource: Investigating Social Media Friend Counts**

**Overview:**
Many students claim to have more than 150 friends on a social media platform. For a class project, students conducted a survey at their college, asking a random sample of 13 students who use the platform to reveal their number of friends. The aim is to determine if the mean number of friends exceeds 150 using statistical evidence.

**Instructions:**
To explore this hypothesis, use the "Inference for a Population Mean" web app with the provided data, not preloaded data.

**Exercise Steps:**

1. **Objective:**
   Determine which statement is being analyzed:
   - A) The proportion of students at the college using the platform who have more than 150 friends.
   - B) The mean number of friends students have on the platform.
   - C) The mean number of students at the college who use the platform.
   - D) The number of friends students have on the platform.
   - E) The number of students who use the platform.
   
   **Correct Answer:** D) The number of friends students have on the social media platform.

2. **Identify the Parameter:**
   - A) The proportion of students using the platform with more than 150 friends.
   - B) The mean number of friends users have on the platform.
   - C) The proportion of students at the college using the platform.
   - D) The mean number of friends for students using the platform.
   - E) The number of friends for college students on the platform.

   **Correct Answer:** D) The mean number of friends for students at the college who use the social media website.

3. **Formulate Hypotheses:**
   - Null Hypothesis (H₀): μ = 150
   - Alternative Hypothesis (Hₐ): μ > 150

   Enter integers or decimal values, avoiding rounding.

4. **Determine Test Statistic:**
   - Calculate and round the test statistic value to two decimal places as necessary.

(Note: Part c related to determining the test statistic value requires data analysis using the provided tools.) 

Engage with this data exercise to strengthen your understanding of statistical inference and hypothesis testing.
Transcribed Image Text:**Educational Resource: Investigating Social Media Friend Counts** **Overview:** Many students claim to have more than 150 friends on a social media platform. For a class project, students conducted a survey at their college, asking a random sample of 13 students who use the platform to reveal their number of friends. The aim is to determine if the mean number of friends exceeds 150 using statistical evidence. **Instructions:** To explore this hypothesis, use the "Inference for a Population Mean" web app with the provided data, not preloaded data. **Exercise Steps:** 1. **Objective:** Determine which statement is being analyzed: - A) The proportion of students at the college using the platform who have more than 150 friends. - B) The mean number of friends students have on the platform. - C) The mean number of students at the college who use the platform. - D) The number of friends students have on the platform. - E) The number of students who use the platform. **Correct Answer:** D) The number of friends students have on the social media platform. 2. **Identify the Parameter:** - A) The proportion of students using the platform with more than 150 friends. - B) The mean number of friends users have on the platform. - C) The proportion of students at the college using the platform. - D) The mean number of friends for students using the platform. - E) The number of friends for college students on the platform. **Correct Answer:** D) The mean number of friends for students at the college who use the social media website. 3. **Formulate Hypotheses:** - Null Hypothesis (H₀): μ = 150 - Alternative Hypothesis (Hₐ): μ > 150 Enter integers or decimal values, avoiding rounding. 4. **Determine Test Statistic:** - Calculate and round the test statistic value to two decimal places as necessary. (Note: Part c related to determining the test statistic value requires data analysis using the provided tools.) Engage with this data exercise to strengthen your understanding of statistical inference and hypothesis testing.
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