The Boston Beanstalks Club is a social club for tall people. To join the club, women must
Question:
The Boston Beanstalks Club is a social club for tall people. To join the club, women must be at least 5 feet 10 inches (70 inches) and men at least 6 feet 2 inches (74 inches). Both men's and women's heights are approximately normally distributed, but from different normal distributions. You can compare observations from different normal distributions if you measure in standard deviations away from the mean, which converts the observation to a z-score. To compute an observation's z-score, subtract the mean and then divide the result by the standard deviation.
z = observation - mean / standard deviation
a.) Assume that women's heights follow an approximately normal distribution with ???? = 63.3 inches and ???? = 4.3 inches. How many standard deviations above the mean must a woman be in order to join the Boston Beanstalks? (Round your answer to two decimal places.)
b.) Assume that men's heights follow an approximately normal distribution with ???? = 68.3 inches and ???? = 4.8 inches. How many standard deviations above the mean must a man be in order to join the Boston Beanstalks? (Round your answer to two decimal places.)