All applicants for a job in X-Company should take a test. To be invited for an i

Question

All applicants for a job in X-Company should take a test. To be invited for an interview your score on the test should be on the top P percent of all applicants.
Results of the test have Normal Distribution with

the mean M and Standard Deviation SD.

Take values M, SD and P assigned for you in the table below and find, what should be your score on the test (higher than what value)
to be invited for the interview.

Take values M, SD and P assigned for you in the table below and

1. From Appendix Table for Normal Distribution find z-value that has area to the left close to 1-P (P should be in decimal form).

2. In formula z=(x-M)/SD to plug your z, M and SD and solve for x. That will be score on the test required to be invited for the interview. Please incude breakdown of answer.

M

SD

P

360

90

30%

M

SD

P

360

90

30%

Explanation / Answer

1)here fortop 30% ; at 70th percentile Critical value of z =0.5244

2) score on the test required =M+z*SD =360+0.5244*90=407.196

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