QUESTION

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11. A sample of size 68 will be drawn from a population with mean 92 and standard deviation 24. a. Find the probability that $\bar{x}$ will be greater than 90 . b. Find the 90 th percentile of $\bar{x}$. 12. A sample of size 284 will be drawn from a population with mean 45 and standard deviation 7. a. Find the probability that $\bar{x}$ will be greater than 46 . b. Find the 75 th percentile of $\bar{x}$. 13. A sample of size 91 will be drawn from a population with mean 33 and standard deviation 17. a. Find the probability that $\bar{x}$ will be less than 30 . b. Find the 25 th percentile of $\bar{x}$.

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