Time Limit: 01:00:00 Submit Qu his Question: 10 pts 9 of 10 (0 complete) This Qu

Question

Time Limit: 01:00:00 Submit Qu his Question: 10 pts 9 of 10 (0 complete) This Quiz: 100 pts possib A common design requirement is that an environment must fit the range of people who fall between the 5h percentile for women and the 95h percentle 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 21.8 in. and a standard deviation of 1.3 in. Females have sitting knee heights that are normally distibuted with a mean of 19.2 in. and a standard deviation of 1.2 in. Use this information to answer the following questions What ts te minimum table clearance required to satisfy the requirement of fitting 95% of men? in. (Round to one decimal place as needed) enn the b fo SS Determine if the folowing statement is true or false. If there is clearance for 95% of males, there wil certainty be clearance for al O A. The statement is true because some women will have siting knee heights that are outliers O B. The statement is false because the 95th percentile for men is greater than the 5th percentle for women O C. The statement is false because some women will have sitting knee heights that are outliers O D. The statement is true 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 6 in above the floor L %(Round to two decimal places as needed ) Click to select your answer(s) 9pm

Explanation / Answer

1) for 95% ; critical z =1.645

hence clearance required =mean+z*std deviation=21.8+1.645*1.3=23.9

2)

P(X<23.6)=P(Z<(23.6-21.8)/1.3)=P(Z<1.38)=91.62% ( please try 91.69% if this comes wrong)

3)

P(X<23.6)=P(Z<(23.6-19.2)/1.2)=P(Z<3.67)=99.99%

4)

optin B is correct

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