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Answer these three questions and show all your work and use the z-table that is in the back of all statistic book

1) Suppose you know that adult female height is normally distributed and the mean is 65 inches with a std dev of 1.2 inches.

What is the z value for a person who is 67 inches? what is the z value for a person who is 63 inches? Which one is "farther" from the mean and why?

2) Is the z value the same as the number of standard deviation from the mean? Explain and give an example.

3) Suppose you know that adult female height is normally distributed and the mean is 65 inches with a std dev of 1.2 inches.

What is the probability that a single random female is BETWEEN 64.5 and 65.5 inches?

What is the probability that a random sample of 100 females are BETWEEN 64.5 and 65.5 inches?

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