a. Find a 95% confidence interval for the mean number of days, , of diverted medical marijuana use in the last 6 months of all adolescents in substance abuse treatment. The 95% confidence interval for u is from days to days (Round to two decimal places as needed.) b. Find a 90% confidence interval for the mean number of days, u, of diverted medical marijuana use in the last 6 months of all adolescents in substance abuse treatment. The 90% confidence interval for u is from days to days (Round to two decimal places as needed.) c. Draw a graph to display both confidence intervals. Choose the correct graph below. OA. Q OB 110 Oc. OD. forp for 1i0

MATLAB: An Introduction with Applications
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Solve correctly for A-D in the picture

**Title: Analyzing Confidence Intervals in Substance Abuse Treatment Study**

As seen with the legalization of medical marijuana, "diversion" is a process where medical marijuana prescribed for one person is given, traded, or sold to another person not registered for medical marijuana use. In this context, we explore data involving adolescents in substance abuse treatment.

The study considers the mean number of days that 127 adolescents used medical marijuana over the last six months, with a reported mean of 103.16 days. The population standard deviation is assumed to be 26 days. The following tasks (a) through (d) analyze this data using confidence intervals.

**Task A: 95% Confidence Interval**
- Objective: Calculate a 95% confidence interval for the mean number of days (\(\mu\)) of diverted medical marijuana use among adolescents in treatment.
- Output: The 95% confidence interval for \(\mu\) is from [_] to [_] days.
- Instruction: Ensure results are rounded to two decimal places.

**Task B: 90% Confidence Interval**
- Objective: Determine a 90% confidence interval for the mean number of days (\(\mu\)) of diverted medical marijuana use among these adolescents.
- Output: The 90% confidence interval for \(\mu\) is from [_] to [_] days.
- Instruction: Round results to two decimal places.

**Task C: Visual Representation**
- Instruction: Draw a graph to display both the 95% and 90% confidence intervals. Correct graph selection is required.

**Graph Descriptions:**
- Four graph choices (A, B, C, D) each display potential confidence intervals.
- Graph axes range from 95 to 110 days.
- Visual markers display confidence intervals with arrows and brackets pointing to specific ranges.

**Conclusion:**
This exercise helps visualize and compare different confidence intervals, demonstrating both calculations and interpretations necessary for analyzing data in medical and social science contexts. Understanding confidence intervals' role provides crucial insights into the potential variability and reliability of mean estimates within population studies.
Transcribed Image Text:**Title: Analyzing Confidence Intervals in Substance Abuse Treatment Study** As seen with the legalization of medical marijuana, "diversion" is a process where medical marijuana prescribed for one person is given, traded, or sold to another person not registered for medical marijuana use. In this context, we explore data involving adolescents in substance abuse treatment. The study considers the mean number of days that 127 adolescents used medical marijuana over the last six months, with a reported mean of 103.16 days. The population standard deviation is assumed to be 26 days. The following tasks (a) through (d) analyze this data using confidence intervals. **Task A: 95% Confidence Interval** - Objective: Calculate a 95% confidence interval for the mean number of days (\(\mu\)) of diverted medical marijuana use among adolescents in treatment. - Output: The 95% confidence interval for \(\mu\) is from [_] to [_] days. - Instruction: Ensure results are rounded to two decimal places. **Task B: 90% Confidence Interval** - Objective: Determine a 90% confidence interval for the mean number of days (\(\mu\)) of diverted medical marijuana use among these adolescents. - Output: The 90% confidence interval for \(\mu\) is from [_] to [_] days. - Instruction: Round results to two decimal places. **Task C: Visual Representation** - Instruction: Draw a graph to display both the 95% and 90% confidence intervals. Correct graph selection is required. **Graph Descriptions:** - Four graph choices (A, B, C, D) each display potential confidence intervals. - Graph axes range from 95 to 110 days. - Visual markers display confidence intervals with arrows and brackets pointing to specific ranges. **Conclusion:** This exercise helps visualize and compare different confidence intervals, demonstrating both calculations and interpretations necessary for analyzing data in medical and social science contexts. Understanding confidence intervals' role provides crucial insights into the potential variability and reliability of mean estimates within population studies.
An issue with the legalization of medical marijuana is "diversion," the process in which medical marijuana prescribed for one person is given, traded, or sold to someone who is not registered for medical marijuana use. The mean number of days that 127 adolescents in substance abuse treatment used medical marijuana in the last six months was 103.16. Assume the population standard deviation is 26 days. Complete parts (a) through (d) below.

---

**d. Which confidence interval yields a more accurate estimate of μ? Explain your answer.**

The [Dropdown] confidence interval is a more accurate estimate because it is [Dropdown] than the [Dropdown] confidence interval.
Transcribed Image Text:An issue with the legalization of medical marijuana is "diversion," the process in which medical marijuana prescribed for one person is given, traded, or sold to someone who is not registered for medical marijuana use. The mean number of days that 127 adolescents in substance abuse treatment used medical marijuana in the last six months was 103.16. Assume the population standard deviation is 26 days. Complete parts (a) through (d) below. --- **d. Which confidence interval yields a more accurate estimate of μ? Explain your answer.** The [Dropdown] confidence interval is a more accurate estimate because it is [Dropdown] than the [Dropdown] confidence interval.
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