6 s 0.50 points There are 20 new job openings up at a manufacturing plant. To se

Question

6 s 0.50 points There are 20 new job openings up at a manufacturing plant. To select the best 20 from among the hundreds of applicants for these positions, the prospective employer gives a physical exam and a written apbitude test to each applicant Suppose 1,000 people take the best and the mean grade on the test bums out to be 140 with a standard deviation of 5. nothing is known about the shape of the distrbution of test scores what percentage of the test scores will tall between 132 and 1487 Report your inal answer to 2 decimal places, using conventional rounding rules ANSWER

Explanation / Answer

z score for 132 = (132 - 140)/5 = -1.6

z score for 148 = (148 - 140)/5 = 1.6

Since nothing is known about the distribution, we will use Chebychev's inequality. Hence,

Percentage of scores between 132 and 148

= (1 - 1/(1.62))

= 60.94 %

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