### Study on Teen Nicotine AddictionA recent study evaluated the addiction levels in teenagers to nicotine once they start smoking. The key variable measured was the number of affirmative responses on a questionnaire called the Hooked on Nicotine Checklist (HONC). #### Findings:- **Mean HONC Scores:** - **Females (n = 149):** Mean = 4.2, Standard Deviation (s) = 5.4 - **Males (n = 190):** Mean = 2.8, Standard Deviation (s) = 4.2### Questions and Interpretation#### a. Understanding the Standard Error**Question:** What does the standard error indicate?- **Option A (Correct):** The standard error describes the spread of the sampling distribution of the difference in means (x̄₁ - x̄₂).- **Option B:** The standard error is the standard deviation of the difference between x̄₁ - x̄₂.- **Option C:** The standard error is the standard deviation of the sample for this study.- **Option D:** The standard error is the difference in standard deviations for the two populations.#### b. Statistical Analysis**Task:** Calculate the test statistic and P-value for the hypotheses:- Null Hypothesis (H₀): μ₁ = μ₂ - Alternative Hypothesis (Hₐ): μ₁ ≠ μ₂**Purpose:** Determine the impact of gender on the mean HONC score at a significance level of 0.05.**Instruction:** Round the test statistic to two decimal places.---This study provides insight into gender differences in nicotine addiction among teenagers, measured via the HONC score. Understanding these differences can inform targeted interventions for smoking prevention and cessation.

A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response variable was the number of yes answers on a questionnaire called the Hooked on Nicotine Checklist (HONC). Of teenagers who had tried tobacco, the mean HONC score was 4.2 (s=5.4) for the 149 females and 2.8 (s=4.2) for the 190 males. Complete parts a through c below. *** What does the standard error indicate? A. The standard error describes the spread of the sampling distribution of x₁ - x2- B. The standard error is the standard deviation of the difference between Х1-X2- OC. The standard error is the standard deviation of the sample for this study. OD. The standard error is the difference in standard deviations for the two populations. b. Find the test statistic and P-value for Ho: H₁ H₂ and Ha: H₁ H₂. Interpret, and explain what (if any) effect gender has on the mean HONC score. Use the significance level 0.05.

A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response variable was the number of yes answers on a questionnaire called the Hooked on Nicotine Checklist (HONC). Of teenagers who had tried tobacco, the mean HONC score was 4.2 (s=5.4) for the 149 females and 2.8 (s=4.2) for the 190 males. Complete parts a through c below. *** What does the standard error indicate? A. The standard error describes the spread of the sampling distribution of x₁ - x2- B. The standard error is the standard deviation of the difference between Х1-X2- OC. The standard error is the standard deviation of the sample for this study. OD. The standard error is the difference in standard deviations for the two populations. b. Find the test statistic and P-value for Ho: H₁ H₂ and Ha: H₁ H₂. Interpret, and explain what (if any) effect gender has on the mean HONC score. Use the significance level 0.05.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A recent study evaluated how addicted teenagers become to nicotine once they start smoking. The response variable was the number of yes answers on a questionnaire called the Hooked on Nicotine Checklist (HONC). Of teenagers who had tried tobacco, the mean HONC score was 3.8 (s = 4.8) for the 143 females and 2.3 (s = 2.8) for the 171 males. Complete parts a through c below. ... (Round to four decimal places as needed.) What does the standard error indicate? A. The standard error describes the spread of the sampling distribution of x₁ - x2- OB. The standard error is the standard deviation of the sample for this study. OC. The standard error is the difference in standard deviations for the two populations. OD. The standard error is the standard deviation of the difference between x₁ - x₂- b. Find the test statistic and P-value for Ho: H₁ H₂ and Ha: H₁ H₂. Interpret, and explain what (if any) effect gender has on the mean HONC score. Use the significance level 0.05. The test statistic is…