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The average number of moves a person makes in his or her lifetime is 12 and the standard deviation is 3.1. 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.Find the probability that the mean of a sample of 25 people is less than 10.Find the probability that the mean of a sample of 25 people is greater than 10.Find the probability that the mean of a sample of 25 people is between 11 and 12.

Answer :

The z-score is given by the following formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where x is the data point, μ is the mean, and σ is the standard deviation.

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