785?module_item_id=965498 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 are 95% confident the mean number of hours of sleep falls between 7.60 and 8.50 hours. Find the error bound and the sample mean. Round to 2 places where possible. (a) Mean (b) Error = < ★ V

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Author:Amos Gilat
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**Educational Content on Sleep Study Analysis**

In this exercise, we explore a study focused on evaluating the effectiveness of hypnotherapy in increasing the number of sleep hours each night. The task is to calculate statistical measures to understand the results of the study.

### Instructions:

1. **Objective**: Determine how effective hypnotherapy is in increasing sleep duration.
2. **Confidence Interval**: You are 95% confident that the mean number of hours of sleep falls between 7.60 and 8.50 hours.
3. **Tasks**:
   - Calculate the mean (average) number of hours from the study data.
   - Find the error bound associated with this mean.
4. **Rounding**: Round your answers to 2 decimal places where possible.

### Input Fields:
- **(a) Mean =** [Input Box]
- **(b) Error =** [Input Box]

### Additional Notes:
Make sure to apply the appropriate statistical formulas to determine the mean and error. These calculations are crucial for interpreting the effectiveness of hypnotherapy based on the given confidence interval.

This exercise is a practical application of statistical analysis, allowing students to engage with real-world data interpretation and decision-making processes.

**End of Content**
Transcribed Image Text:**Educational Content on Sleep Study Analysis** In this exercise, we explore a study focused on evaluating the effectiveness of hypnotherapy in increasing the number of sleep hours each night. The task is to calculate statistical measures to understand the results of the study. ### Instructions: 1. **Objective**: Determine how effective hypnotherapy is in increasing sleep duration. 2. **Confidence Interval**: You are 95% confident that the mean number of hours of sleep falls between 7.60 and 8.50 hours. 3. **Tasks**: - Calculate the mean (average) number of hours from the study data. - Find the error bound associated with this mean. 4. **Rounding**: Round your answers to 2 decimal places where possible. ### Input Fields: - **(a) Mean =** [Input Box] - **(b) Error =** [Input Box] ### Additional Notes: Make sure to apply the appropriate statistical formulas to determine the mean and error. These calculations are crucial for interpreting the effectiveness of hypnotherapy based on the given confidence interval. This exercise is a practical application of statistical analysis, allowing students to engage with real-world data interpretation and decision-making processes. **End of Content**
Expert Solution
Step 1

It is given that 

The 95% confidence interval is 

C.I. = ( 7.60, 8.50 )

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