Personnel tests are designed to test a job applicant\'s cognitive andor phys cal

Question

Personnel tests are designed to test a job applicant's cognitive andor phys cal abilities. A particular dexterity test is administered nationwide by a private besting service, It is known that for all tests administered last year, the distribution of scores was approximately normal with mean 73 and standard doviation 8.9 a. A partcular employer requires job candidatos to score at least 78 on the dexderity teat. Approximately what percentage of the lost scores during the past year exceeded 78? b. The test g ser o eported to a par cular empl that one of its o candidate's scores fell at the 9 th percentile the dstribution .e the so res ere over the the c yeer exceeded 78? feea approximately 96% of dale's and Only 2% were higher what es e candidate's score? Click here to vift one of is job candede's sc Click here to view a table of areas under the standardized normal curve aAppranmatob % of the tost scoros dunng the past year oxocodod 78. (Round to one docimal place as neoded.) b. The candidate's score was (Round to the nearest whole number as needed.)

Explanation / Answer

Mean = 73

Sd = 6.9

A) P(X > 78) = P(Z > (78-73)6.9))

= P(Z > 0.72)

= 1- P(Z < 0.72)

= 1 - 0.7642

= 0.2358

= 23.58%

B) P(X < x) = 0.98

Or,P(Z < (x - 73)/6.9) = 0.98

Or, (x - 73)/6.9 = 2.05

Or, x = 73 + 2.05 * 6.9

Or, x = 87.145

Or, x = 87

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