Please give to 4 decimal points! Thanks!! (1 point) The distribution of heights
ID: 3062820 • Letter: P
Question
Please give to 4 decimal points! Thanks!!
(1 point) The distribution of heights of adult men in the U.S. is approximately normal with mean 69 inches and standard deviation 2.5 inches. Use what you know about a normal distribution and the 68-95-99.7 Rule (aka the Empirical Rule) to answer the following NOTE: If your answer is a percent, such as 25 percent, enter: "25 PERCENT (without the quotes). If your answer is in inches, such as 10 inches, enter: "10 INCHES" (without the quotes and with a space between the number and the INCHES). If your answer is an interval, such as 14 to 15 inches, then enter: "14 TO 15 INCHES" (without the quotes). Do not use 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. Note: When a problem involving the Normal distribution uses words like "About' or "Approximately", those are typically cues to use the Empirical Rule. This means that more exact answers obtained from using a z-table or technology will generally be counted as incorrect. (a) About what percent of men are between 64 and 66.5 inches? Answer: (b) About what percent of men are taller than 74? Answer: (c) About what percent of men are between 69 and 74 inches? Answer:Explanation / Answer
a) as 64 and 66.5 inch are -2 and -1 std deviation from mean
Answer =(95-68)/2 =13.5%
b)
74 is 2 std deviation from mean
Answer =2.5 %
c)
69 and 74 are 0 and 2 std deviation from mean
Answer =47.5%