MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Apply the Central Limit Theorem for Sample Means**

A population of values has a normal distribution with \( \mu = 234 \) and \( \sigma = 37 \). You intend to draw a random sample of size \( n = 35 \).

- **Find the probability that a single randomly selected value from the population is greater than 239.**

  \( P(X > 239) = \) [Input Box]

- **Find the probability that a sample of size \( n = 35 \) is randomly selected with a mean greater than 239.**

  \( P(M > 239) = \) [Input Box]

Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

**Question Help:** [Message instructor]

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Transcribed Image Text:**Apply the Central Limit Theorem for Sample Means** A population of values has a normal distribution with \( \mu = 234 \) and \( \sigma = 37 \). You intend to draw a random sample of size \( n = 35 \). - **Find the probability that a single randomly selected value from the population is greater than 239.** \( P(X > 239) = \) [Input Box] - **Find the probability that a sample of size \( n = 35 \) is randomly selected with a mean greater than 239.** \( P(M > 239) = \) [Input Box] Enter your answers as numbers accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. **Question Help:** [Message instructor] [Submit Question Button]
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