The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a standard deviation of 2.64 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.4 inches and a standard deviation of 2.59 inches. a) If a man is 6 feet 3 inches tall, what is his z-score (to two decimal places)? b) What percentage of men are SHORTER than 6 feet 3 inches? Round to nearest tenth of a percent. % c) If a woman is 5 feet 11 inches tall, what is her z-score (to two decimal places)? d) What percentage of women are TALLER than 5 feet 11 inches? Round to nearest tenth of a percent. % e) Who is relatively taller: a 6'3" American man or a 5'11" American woman? Defend your choice in a meaningful sentence.

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A: The population mean is, μ=∑xN=4+9+0+1+3+12+3+7+4+5+8+212=5812=4.8333 The population mean is 4.8333.

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A: Let X be the height of the men follows normal distribution with mean μ=6 feet 6 inches=78 inches…

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.