61 What is the point estimate? Round to 3 decimal places. Type your answer... 62 What is the width of the interval? Round to 3 decimal places. Type your answer. 63 What is the margin of error? Round to 3 decimal places. Type your answer...

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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**Confidence Interval and Related Calculations**

**Question:**
Suppose we have the following confidence interval: (-1.52, 2.37)

1. **What is the point estimate?** Round to 3 decimal places.
   - *Type your answer...*

2. **What is the width of the interval?** Round to 3 decimal places.
   - *Type your answer...*

3. **What is the margin of error?** Round to 3 decimal places.
   - *Type your answer...*

**Explanation of Calculations:**

- The **point estimate** is the midpoint of the confidence interval and can be calculated as the average of the lower and upper bounds:
  \[
  \text{Point Estimate} = \frac{-1.52 + 2.37}{2}
  \]

- The **width of the interval** is the difference between the upper and lower bounds of the interval:
  \[
  \text{Width} = 2.37 - (-1.52)
  \]

- The **margin of error** is half of the interval width:
  \[
  \text{Margin of Error} = \frac{\text{Width}}{2}
  \]
Transcribed Image Text:**Confidence Interval and Related Calculations** **Question:** Suppose we have the following confidence interval: (-1.52, 2.37) 1. **What is the point estimate?** Round to 3 decimal places. - *Type your answer...* 2. **What is the width of the interval?** Round to 3 decimal places. - *Type your answer...* 3. **What is the margin of error?** Round to 3 decimal places. - *Type your answer...* **Explanation of Calculations:** - The **point estimate** is the midpoint of the confidence interval and can be calculated as the average of the lower and upper bounds: \[ \text{Point Estimate} = \frac{-1.52 + 2.37}{2} \] - The **width of the interval** is the difference between the upper and lower bounds of the interval: \[ \text{Width} = 2.37 - (-1.52) \] - The **margin of error** is half of the interval width: \[ \text{Margin of Error} = \frac{\text{Width}}{2} \]
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