Suppose that you are designing an instrument panel for a large industrial machine.The machine requires the person using it to reach 2 feet from a particular position.The reach from this position for adult women is known to have a mean of 2.8 feetwith a standard deviation of .5. The reach for adult men is known to have a meanof 3.1 feet with a standard deviation of .6. Both women’s and men’s reach fromthis position is normally distributed. If this design is implemented, (a) what percentageof women will not be able to work on this instrument panel? (b) What percentageof men will not be able to work on this instrument panel? (c) Explain youranswers to a person who has never had a course in statistics.
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