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
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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 (⟳)]
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 (⟳)]
Expert Solution
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GivenMean(μ)=12standard deviation(σ)=3.5

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