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MATH 123 Homework Section 14 Normal DistributionSection:________Name:__________________________1. Women’s Stature: Consider the data from the Anthropology 105 class. The mean is 163.4 cm and the standard deviation is 6.7 cm. Convert the mean and standard deviation to inches, rounded to two decimal places.Label the heights at μ,μ+σ ,μ−σ , μ+2σetc. at the bottom of the normal curve ininches below.______ ______ ______ ______ ______ ______ ______a. What is the average height in inches?b. What is the standard deviation in inches?c. The middle 68% of women represented have a stature between what two heights? (Give a range)d. The middle 95% of women represented have a stature between what two heights?e. The average height of men in the US is approximately 5ft 7in. What proportion of women represented here are shorter than the average man?f. Professional volleyball players who are women are at least 6 foot tall. What proportion of the population could even hope to be a professional volleyball player? How many is that out of 100,000? 2. Data from Ivy Tech’s advising center shows that their wait times follow a normal distribution.