Question

Scbre: 92.94 70, T5.... Question Help out A common design requirement is that an environment must fit the range of people who fall between the 5h percentile for women and the 95th percentile for men. In designing an assembly work table, the sitting knee height must be considered, which is the distance from the bottom of the feet to the top of the knee. Males have sitting knee heights that are normally distributed with a mean of 21.1 in. and a standard deviation of 1.2 in. Females have sitting knee heights that are normally distributed with a mean of 19.5 in. and a standard deviation of 1.1 in. Use this information to answer the following questions C The statement is false because some women will have sitting knee heights that are outliers D. The statement is false because the 95th percentile for men is greater than the 5th percentile for women. The author is writing this exercise at a table with a clearance of 23.9 in. above the floor. What percentage onten Succe ia Libra Tutor of men fit this table? L1% (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer. tion 3 (1/ tion 7 (1/1 Question 11 (1/ Question 15 (1/1 Clear A remaining Tools % Question 10 (0.40/1) Question 14 (1/1) Question 9 (1/1) sions V Question 13 (1 /1)

I got the first 2 parts, but I cant figure out the percentage of men that fit this table. please help.

Answer 1

for normal distribution z score =(X- $\mu$ )/ $\sigma$
here mean=       $\mu$ =	21.1
std deviation   = $\sigma$ =	1.2

% of men who fit this table:

probability =

P(X<23.9)

=

P(Z<2.33)=

0.9902~ 99.02%

( please try 99.01% if above comes wrong)