14. A common design requirement is that an environment must fitthe range of people who fall between the 5th percentile for womenand the 95th percentile for men. In designing an assembly work​table, the sitting knee height must be​ considered, which is thedistance from the bottom of the feet to the top of the knee. Maleshave sitting knee heights that are normally distributed with a meanof 21.1 in. and a standard deviation of 1.1 in. Females havesitting knee heights that are normally distributed with a mean of19.4 in. and a standard deviation of 1.0 in. Use this informationto answer the following questions.
1. What is the minimum table clearance required to satisfy therequirement of fitting​ 95% of​ men?____​(Round to one decimalplace as​ needed.)
2. Determine if the following statement is true or false. Ifthere is clearance for 95% of males, there will certainly beclearance for all women in the bottom 5%.
A. The statement is true because some women will have sittingknee heights that are outliers.
B. The statement is false because some women will have sittingknee heights that are outliers.
C. The statement is true because the 95th percentile for men isgreater than the 5th percentile for women.
D. The statement is false because the 95th percentile for men isgreater than the 5th percentile for women.
3. The author is writing this exercise at a table with aclearance of 23.9 in. above the floor. What percentage of men fitthis table?
4. What percentage of women fit this table?
5. Does the table appear to be made to fit almost everyone?Choose the correct answer below.
A. The table will fit almost everyone except about 22% of menwith the largest sitting knee heights.
B. The table will fit only 22% of men.
C. The table will only fit 1% of women.
D. Not enough information to determine if the table appears tobe made to fit almost everyone.
15.The lengths of pregnancies are normally distributed with amean of 269 days and a standard deviation of 15 days.
a. Find the probability of a pregnancy lasting 308 days orlonger.____​(Round to four decimal places as​ needed.)
b. If the length of pregnancy is in the lowest 4​%, then thebaby is premature. Find the length that separates premature babiesfrom those who are not premature.____​(Round to four decimal placesas​ needed.)
