Find the probability that the mean of a sample of 25 people is less than 10. P(X<10) =D Part 2 of 3 Find the probability that the mean of a sample of 25 people is greater than 10. P(X> 10) =O

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The average number of moves a person makes in his or her lifetime is 12 and the standard deviation is 3.5. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answers to four decimal places and intermediate z value calculations to two decimal places.

**Part 1 of 3**

Find the probability that the mean of a sample of 25 people is less than 10.

\[ P(\overline{X} < 10) = \]

[Input box] [Clear button] [Reset button]

---

**Part 2 of 3**

Find the probability that the mean of a sample of 25 people is greater than 10.

\[ P(\overline{X} > 10) = \]

[Input box] [Clear button] [Reset button]

---

This task involves applying the normal distribution and the central limit theorem to find probabilities concerning the sample mean.
Transcribed Image Text:The average number of moves a person makes in his or her lifetime is 12 and the standard deviation is 3.5. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answers to four decimal places and intermediate z value calculations to two decimal places. **Part 1 of 3** Find the probability that the mean of a sample of 25 people is less than 10. \[ P(\overline{X} < 10) = \] [Input box] [Clear button] [Reset button] --- **Part 2 of 3** Find the probability that the mean of a sample of 25 people is greater than 10. \[ P(\overline{X} > 10) = \] [Input box] [Clear button] [Reset button] --- This task involves applying the normal distribution and the central limit theorem to find probabilities concerning the sample mean.
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