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 place Find the probability that the mean of a sample of 25 people is less than 10. P(X<10)= X Find the probability that the mean of a sample of 25 people is greater than 10. P(X>10) = P(11
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 place Find the probability that the mean of a sample of 25 people is less than 10. P(X<10)= X Find the probability that the mean of a sample of 25 people is greater than 10. P(X>10) = P(11
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
1. **Find the probability that the mean of a sample of 25 people is less than 10.**
\[
P(\bar{X} < 10) = \, \_\_\_
\]
[Input box] [Check (x)] [Refresh (⟳)]
2. **Find the probability that the mean of a sample of 25 people is greater than 10.**
\[
P(\bar{X} > 10) = \, \_\_\_
\]
[Input box] [Check (x)] [Refresh (⟳)]
3. **Find the probability that the mean of a sample of 25 people is between 11 and 12.**
\[
P(11 < \bar{X} < 12) = \, \_\_\_
\]
[Input box] [Check (x)] [Refresh (⟳)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5aeff752-7ccf-4e62-bc6c-99de9bf43c1c%2F4cef027d-ea83-4f47-a18c-dc3b09937ec1%2Fyutrojh_processed.jpeg&w=3840&q=75)
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.
1. **Find the probability that the mean of a sample of 25 people is less than 10.**
\[
P(\bar{X} < 10) = \, \_\_\_
\]
[Input box] [Check (x)] [Refresh (⟳)]
2. **Find the probability that the mean of a sample of 25 people is greater than 10.**
\[
P(\bar{X} > 10) = \, \_\_\_
\]
[Input box] [Check (x)] [Refresh (⟳)]
3. **Find the probability that the mean of a sample of 25 people is between 11 and 12.**
\[
P(11 < \bar{X} < 12) = \, \_\_\_
\]
[Input box] [Check (x)] [Refresh (⟳)]
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