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Heights of Americans are roughly normally distributed with a mean of 171cm and a standard deviation of 9.5cm. A. Find the mean and standard deviation

  1. Heights of Americans are roughly normally distributed with a mean of 171cm and a standard deviation of 9.5cm.

A. Find the mean and standard deviation of the distribution of means of random samples of 10 Americans.

B. Will the distribution of means of random samples of 10 Americans be roughly normal? Why or why not?

C, Sketch the distribution of means of random samples of 10 Americans.

D. If I pick 10 people at random and they have an average height of 180cm, should I be surprised? Why or why not?

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