Part 2 and 3 **Title: Analyzing Social Media Habits of Teenage Boys and Girls****Introduction:**A sociologist is investigating whether teenage boys and girls have significantly different social media habits. This study examines the differences in average time spent on social media between these groups using a significance level of α = 0.01. **Hypotheses:**- Null Hypothesis (H₀): μₐ - μ₉ = 0 (No difference in average time spent on social media by teenage boys and girls.)- Alternative Hypothesis (H₁): μₐ - μ₉ ≠ 0 (There is a difference in average time spent on social media between teenage boys and girls.)- Correct Hypotheses Selection: (Selected option indicating H₀: μₐ - μ₉ = 0, H₁: μₐ - μ₉ ≠ 0)**Data Collection:**- A sample of 42 teenage boys shows an average social media use of 95.6 minutes per day, with a standard deviation of 3.- A sample of 44 teenage girls shows an average social media use of 97.8 minutes per day, with a standard deviation of 2.7.**Statistical Analysis:**- *Test Statistic:* Blank for input, to be calculated to two decimal places.- *P-value:* Blank for input, to be calculated to four decimal places.**Results:**- The test indicates a rejection of the Null Hypothesis. (Selected option indicates "Reject the Null Hypothesis")**Conclusion:**- Based on the analysis, there is significant evidence to suggest that teenage boys and girls differ in their social media habits. (Selected option indicating a significant difference)**Graph/Diagram Explanation:**The diagram is a conceptual representation of hypothesis testing, showing selection options for statistical hypothesis and result interpretation. It emphasizes correctly choosing hypotheses and making decisions based on statistical outcomes.This analysis aids educators, students, and researchers in understanding gender-based differences in social media usage and their implications at an educational level.

Name: Part 2 and 3 **Title: Analyzing Social Media Habits of Teenage Boys an
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Description: Part 2 and 3 **Title: Analyzing Social Media Habits of Teenage Boys and Girls****Introduction:**A sociologist is investigating whether teenage boys and girls have significantly different social media habits. This study examines the differences in ave

Denote μB, μG as the population average time spent on social median by a teenage boy and girl,…

Math

Statistics

Do teenage boys and teenage girls have significantly different social media habits? A sociologist wants to examine this question at the a = 0.01 level of significance. Let H3 represent the average time spent by a teenage boy on social media per day and Hc represent the average time spent per day on social media by a teenage girl. (Round your results to three decimal places) Which would be correct hypotheses for this test? O Ho : HB - HG = 0, H1: HB - HG + 0 O Ho: HB - HG = 0, H1: HB - HG > 0 Ho:HB - HG 0, H1: µB - HG = 0 Ho : HB - HG = 0, H1:HB - PG <0 A random sample of 42 teenage boys spent an average of 95.6 minutes on social media, with a standard deviation of 3. A random sample of 44 teenage girls spent an average of 97.8 minutes on social media, with a standard deviation of 2.7. Find the test statistic (2 decimals): Give the P-value (4 decimals): Which is the correct result: O Do not Reject the Null Hypothesis O Reject the Null Hypothesis Which would be the appropriate conclusion? O There is not significant evidence to suggest that boys and girls differ in their social media habits. O There is significant evidence to suggest that boys and girls differ in their social media habits.

Do teenage boys and teenage girls have significantly different social media habits? A sociologist wants to examine this question at the a = 0.01 level of significance. Let H3 represent the average time spent by a teenage boy on social media per day and Hc represent the average time spent per day on social media by a teenage girl. (Round your results to three decimal places) Which would be correct hypotheses for this test? O Ho : HB - HG = 0, H1: HB - HG + 0 O Ho: HB - HG = 0, H1: HB - HG > 0 Ho:HB - HG 0, H1: µB - HG = 0 Ho : HB - HG = 0, H1:HB - PG <0 A random sample of 42 teenage boys spent an average of 95.6 minutes on social media, with a standard deviation of 3. A random sample of 44 teenage girls spent an average of 97.8 minutes on social media, with a standard deviation of 2.7. Find the test statistic (2 decimals): Give the P-value (4 decimals): Which is the correct result: O Do not Reject the Null Hypothesis O Reject the Null Hypothesis Which would be the appropriate conclusion? O There is not significant evidence to suggest that boys and girls differ in their social media habits. O There is significant evidence to suggest that boys and girls differ in their social media habits.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Part 2 and 3

**Title: Analyzing Social Media Habits of Teenage Boys and Girls**

**Introduction:**
A sociologist is investigating whether teenage boys and girls have significantly different social media habits. This study examines the differences in average time spent on social media between these groups using a significance level of α = 0.01.

**Hypotheses:**
- Null Hypothesis (H₀): μₐ - μ₉ = 0 (No difference in average time spent on social media by teenage boys and girls.)
- Alternative Hypothesis (H₁): μₐ - μ₉ ≠ 0 (There is a difference in average time spent on social media between teenage boys and girls.)
- Correct Hypotheses Selection: (Selected option indicating H₀: μₐ - μ₉ = 0, H₁: μₐ - μ₉ ≠ 0)

**Data Collection:**
- A sample of 42 teenage boys shows an average social media use of 95.6 minutes per day, with a standard deviation of 3.
- A sample of 44 teenage girls shows an average social media use of 97.8 minutes per day, with a standard deviation of 2.7.

**Statistical Analysis:**
- *Test Statistic:* Blank for input, to be calculated to two decimal places.
- *P-value:* Blank for input, to be calculated to four decimal places.

**Results:**
- The test indicates a rejection of the Null Hypothesis. (Selected option indicates "Reject the Null Hypothesis")

**Conclusion:**
- Based on the analysis, there is significant evidence to suggest that teenage boys and girls differ in their social media habits. (Selected option indicating a significant difference)

**Graph/Diagram Explanation:**
The diagram is a conceptual representation of hypothesis testing, showing selection options for statistical hypothesis and result interpretation. It emphasizes correctly choosing hypotheses and making decisions based on statistical outcomes.

This analysis aids educators, students, and researchers in understanding gender-based differences in social media usage and their implications at an educational level.

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