Express the confidence interval (747.7, 935.7) in the form of a + ME. + ME = 土

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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**Question 19**

**Express the confidence interval (747.7, 935.7) in the form of \( \bar{x} \pm ME \).**

\( \bar{x} \pm ME = \) [ ] \( \pm \) [ ]

---

**Explanation:**

This question requires you to express a given confidence interval as a mean (\( \bar{x} \)) plus or minus the margin of error (ME). The interval provided is from 747.7 to 935.7.

1. **Calculate the Mean (\( \bar{x} \)):**

   \[
   \bar{x} = \frac{747.7 + 935.7}{2} = 841.7
   \]

2. **Calculate the Margin of Error (ME):**

   \[
   ME = \frac{935.7 - 747.7}{2} = 94
   \]

Thus, the confidence interval in the form \( \bar{x} \pm ME \) is:

\[ 
841.7 \pm 94 
\]
Transcribed Image Text:**Question 19** **Express the confidence interval (747.7, 935.7) in the form of \( \bar{x} \pm ME \).** \( \bar{x} \pm ME = \) [ ] \( \pm \) [ ] --- **Explanation:** This question requires you to express a given confidence interval as a mean (\( \bar{x} \)) plus or minus the margin of error (ME). The interval provided is from 747.7 to 935.7. 1. **Calculate the Mean (\( \bar{x} \)):** \[ \bar{x} = \frac{747.7 + 935.7}{2} = 841.7 \] 2. **Calculate the Margin of Error (ME):** \[ ME = \frac{935.7 - 747.7}{2} = 94 \] Thus, the confidence interval in the form \( \bar{x} \pm ME \) is: \[ 841.7 \pm 94 \]
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