2. Based on a sample of 100 participants, a 95% confidence interval for the average weight loss the first month under a new weight loss program is 11.4 Ibs, plus or minus .51. A. What is the confidence level? B. What is the range of values for the confidence interval? C. What is the margin of error?

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**Problem Statement:**

Based on a sample of 100 participants, a 95% confidence interval for the average weight loss the first month under a new weight loss program is 11.4 lbs, plus or minus 0.51.

**Questions:**

A. What is the confidence level?

B. What is the range of values for the confidence interval?

C. What is the margin of error?

**Solution:**

- **A. What is the confidence level?**

  The confidence level is 95%.

- **B. What is the range of values for the confidence interval?**

  The range of values for the confidence interval is calculated by subtracting and adding the margin of error to the average weight loss:

  - Lower limit: \(11.4 - 0.51 = 10.89\) lbs
  - Upper limit: \(11.4 + 0.51 = 11.91\) lbs

  So, the range is 10.89 lbs to 11.91 lbs.

- **C. What is the margin of error?**

  The margin of error is 0.51 lbs.
Transcribed Image Text:**Problem Statement:** Based on a sample of 100 participants, a 95% confidence interval for the average weight loss the first month under a new weight loss program is 11.4 lbs, plus or minus 0.51. **Questions:** A. What is the confidence level? B. What is the range of values for the confidence interval? C. What is the margin of error? **Solution:** - **A. What is the confidence level?** The confidence level is 95%. - **B. What is the range of values for the confidence interval?** The range of values for the confidence interval is calculated by subtracting and adding the margin of error to the average weight loss: - Lower limit: \(11.4 - 0.51 = 10.89\) lbs - Upper limit: \(11.4 + 0.51 = 11.91\) lbs So, the range is 10.89 lbs to 11.91 lbs. - **C. What is the margin of error?** The margin of error is 0.51 lbs.
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