Heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2 inches. a)  If a woman is selected at random, find the probability that her height is between 63 and 65 inches. b) A random sample of 10 women is selected. What is the probability that the sample mean is between 63 and 65 inches? c) What is the probability that the mean height of a random sample of 36 women is between 63 and 65 inches? d) If the population of women’s heights is not normally distributed, which, if any, of the questions (a), (b), and (c) can be answered?

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.