Design calculator simulation to estimate probability

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Reference no: EM13128364

Based on information from the National Center for Health Statistics, the heights of 10-year-old girls closely follow a Normal distribution with mean 54.5 inches and standard deviation 2.7 inches. The heights of 10-year-old boys follow a Normal distribution with mean 54.1 inches and standard deviation 2.4 inches. A particular fourth-grade class has 10 girls and 7 boys. The children's heights are recorded on their tenth birthdays.

(a) Treat the students in this class as random samples of 10-year-old boys and girls. Use random variables to calculate the probability that the mean height of the girls is greater than the mean height of the boys. Show your work.

(b) Design a calculator simulation to estimate the probability described in (a). Describe your simulation method clearly enough so that a classmate could carry it out without further explanation from you. Then carry out your simulation. Interpret your results.

Reference no: EM13128364

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