The mean and standard deviation for the heights of male adults are about 70 inches and 3.2 inches, respectively; for female adults, they are about 65 inches and 2.4 inches, respectively. Heights within each sex are bell-shaped. Suppose random samples of nine male and nine female heights are measured and the difference in the sample means is found (male − female). (a) What is the mean of the sampling distribution of x1 − x2 in this situation?   (b) What is the standard deviation of the sampling distribution? (Round your answer to three decimal places.)

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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.