the distribution of heights in adult men in the U.S. is approx. 69 inches and st
ID: 3305123 • Letter: T
Question
the distribution of heights in adult men in the U.S. is approx. 69 inches and standard deviation 2.5 inches. Use what you know about the empirical rule to answer the following1. About what % of men are taller than 74 inches 2. Approx. what percent of men are taller than 69 inches 3. Approx what percent of men are between 69 and 74 inches? My Settings Updates Not Instal Some updates could r automatically WBWK3-fall: Problem 4 Prev Up Next The distribution of heights of adult men in the U.S is approximately normal with mean 69 inches and standard (3 pts) deviation 2.5 inches. Use what you know about the EMPIRICAL RULE to answer the following. NOTE: If your answer is a percent, such as 25 percent, enter: "25 PERCENT (without the quotes). inches, such as 10 inches, enter: "10 INCHES (without the quotes and with a space between the number INCHES). If your answer is an interval, such as 14 to 15 inches, then enter: "14 TO 15 INCHES (without the your answer is in extra zeros and do not include a decimal point unless your answer is not a whole number. Your answer must be entered in the correct format. (a) About what percent of men are taller than 74? (b) Approximately what percent of men are taller than 69 inches? c) Approximately what percent of men are between 69 and 74 inches? Note: You can earn partial credit on this problem Preview Answers Submilt Answers You have atternpted this problem 0 times. You have unimited attempts remaning. 6 7 8 9 Ul
Explanation / Answer
Mean = 69
Stdev = 2.5
a. Percent of mean taller than 74?
74 = 69+2*2.5
So, it is 2 deviation above mean. The area above 2 deviation above mean is 1-.9772 = .0228
Answer: 2.28 PERCENT
b.
Pecentage of men taller than 69 inhes = ?
69 is the mean. So half of the people will be taller than 69
Answer: 50 PERCENT
c.
Percent of men between 69 and 74 = ?
69 is mean, and 74 is 2 deviation above mean,Using empirical formula
P(69<X<74) = P(69<X< 69+2*2.5) = .9772 - .5 = .4772
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