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c secure https://webwork math missouri.edu/webwork2/MU STAT_1 200 FS1 7JWBwK3 fall/4/?effectiveUser avg9&displayMode;=MathJax&show; ldAnswers=1&user;= avg9&theme;=&key;=y Courses Homework Sets WBWK3-fall Problem 4 WBWK3-fall: Problem 4 Prev Up Next Grades (3 pts) 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 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. Problems Problem 1 Problem 2 Problem 3 Problem 4 Problam 5 Problem 6 Problem 7 Problem 8 (a) Approximately what percent of men are taller than 69 inches? Answer (b) Approximately what percent of men are shorter than 66.5 inches? Answer Display Options (c) Approximately what percent of men are between 64 and 66.5 inches? Answer: 13.5 PERCENT View equations as O MathJax images Show saved answers? Note: You can earn partial credit on this problenm. Yes Preview Answers Submit Answers O No Apply Options You have attempted this problem 7 times. Your overall recorded score is 33%. You have unlimited attempts remaining. Page generated at 09/26/2017 at 01:09pm CDT WeBworKO 1996-2014 | theme: math 4 | ww version: 2.9 | version: 2.91 The WeBWorK Prolect Lect 1o.pdt leco8b t17.pdt Lect 9.pd Lect 12.pdt lec1ob 17.pot Lect 11.pd Show All x

Explanation / Answer

a) For men taller than 69, the value of Z is 0,hence the percent of men taller than 69 is 50%

b) Z =(66.5-69)/2.5 = -1

P(Z<-1) = 0.5- 0.3413 = 0.1587

Answer =15.87%

c) Between 64 and 66.5, the value of Z is (-2 to -1)

The Prob for Z =-2 is = 0.4772 and the prob. of Z =-1 is 0.3413

Between -2 1nd -1 is =0.4772-0.3413 = 0.1359

Hence it is 13.59%

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