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8.8 You do a study of hypnotherapy to determine how effective it is in increasing the number of hours of sleep subjects get each night. You measure hours of sleep for 12 subjects with the following results. Construct a 95% confidence interval for the mean number of hours slept for the population (assumed normal) from which you took the data. 8.2 9.1 7.7 8.6 6.9 11.2 10.1 9.9 8.9 9.2 7.5 10.5 Solution A Identify values to plug into the formula x+ ( ta) G) Write solution first as i + EBM: . Write solution in interval notation: Solution B Check your "by hand" work by running a TInterval test: Interpretation

8.8 You do a study of hypnotherapy to determine how effective it is in increasing the number of hours of sleep subjects get each night. You measure hours of sleep for 12 subjects with the following results. Construct a 95% confidence interval for the mean number of hours slept for the population (assumed normal) from which you took the data. 8.2 9.1 7.7 8.6 6.9 11.2 10.1 9.9 8.9 9.2 7.5 10.5 Solution A Identify values to plug into the formula x+ ( ta) G) Write solution first as i + EBM: . Write solution in interval notation: Solution B Check your "by hand" work by running a TInterval test: Interpretation

MATLAB: An Introduction with Applications
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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**Hypnotherapy Study on Sleep Duration** You conducted a study to assess the effectiveness of hypnotherapy in increasing the number of sleep hours for subjects each night. You recorded the sleep duration for 12 subjects, producing the following results (in hours): - **Data**: 8.2, 9.1, 7.7, 8.6, 6.9, 11.2, 10.1, 9.9, 8.9, 9.2, 7.5, 10.5 Your task is to construct a 95% confidence interval for the mean number of hours slept by the population (assuming normal distribution) from which this sample was taken. ### Solution A Start by identifying the values to plug into the formula for the confidence interval: \[ \bar{x} \pm \left( t_{\frac{\alpha}{2}} \right) \left( \frac{s}{\sqrt{n}} \right) \] - **Write the solution as \( \bar{x} \pm EBM \):** [Space for input] - **Write solution in interval notation**: (_____, _____) ### Solution B Verify your manual calculation by running a TInterval test. ### Interpretation [Space for interpretation]
Transcribed Image Text:**Hypnotherapy Study on Sleep Duration** You conducted a study to assess the effectiveness of hypnotherapy in increasing the number of sleep hours for subjects each night. You recorded the sleep duration for 12 subjects, producing the following results (in hours): - **Data**: 8.2, 9.1, 7.7, 8.6, 6.9, 11.2, 10.1, 9.9, 8.9, 9.2, 7.5, 10.5 Your task is to construct a 95% confidence interval for the mean number of hours slept by the population (assuming normal distribution) from which this sample was taken. ### Solution A Start by identifying the values to plug into the formula for the confidence interval: \[ \bar{x} \pm \left( t_{\frac{\alpha}{2}} \right) \left( \frac{s}{\sqrt{n}} \right) \] - **Write the solution as \( \bar{x} \pm EBM \):** [Space for input] - **Write solution in interval notation**: (_____, _____) ### Solution B Verify your manual calculation by running a TInterval test. ### Interpretation [Space for interpretation]
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