Forward Grip Reach and Ergonomics? When designing cars and aircraft, we must consider the forward grip reach of women. Women have normally distributed forward grip reaches with a mean of 686 mm and a standard deviation of 34 mm (based on anthropométrie survey data from Gordon, Churchill, et al.) a. If a car dashboard is positioned so that it can be reached by 95% of women, what is the shortest forward grip reach that can access the dashboard? b. If a car dashboard is positioned so that it can be reached by women with a grip reach greater than 650 mm, what percentage of women cannot reach the dashboard? Is that percentage too high? c. Find the probability that 16 randomly selected women have forward grip reaches with a mean greater than 680 mm. Does this result have any effect on the design?

Solution 6CRE Step1: From the above given problem we have When designing cars and aircraft, we must consider the forward grip reach of women. Women have normally distributed forward grip reaches with a mean of 686 mm and a standard deviation of 34 mm Step2: Our aim is to find out f a car dashboard is positioned so that it can be reached by 95% of women, what is the shortest forward grip reach that can access the dashboard b). If a car dashboard is positioned so that it can be reached by women with a grip reach greater than 650 mm, what percentage of women cannot reach the dashboard Is that percentage too high c).Find the probability that 16 randomly selected women have forward grip reaches with a mean greater than 680 mm. Does this result have any effect on the design Step3: a).If a car dashboard is positioned so that it can be reached by 95% of women,630mm is the shortest forward grip reach that can access the dashboard b).If a car dashboard is positioned so that it can be reached by women with a grip reach greater than 650 mm, the percentage of women who cannot reach the dashboard is 14.4%. Yes, this percentage is quiet high because a large number of women be left out. c).The probability that 16 randomly selected women have forward grip reaches mean greater than 680 mm is 0.76. This result has no effect on the design of the cockpit.