Question

The department of Public Administration wants to hire several teaching assistants (TAs) who will assist its professors with graduate-level statistics courses. The department gave a test to all TA applicants and announced that only those applicants who score in the top 3% on this test will be hired. The mean test score is 79 and the standard deviation is 8. Assuming the scores are normally distributed, what is the minimum score to be hired?

Answer 1

Hello Sir/ Mam

YOUR REQUIRED ANSWER IS 94.05

To be in top 3% of the test, let the minimum score required be X.

Hence, we are required to find out X such that P-value of the z-score of such X is 97% (0.97).

Hence, we know :

We can easily calculate the required z-score using Goal Seek function of excel, and the answer we get is 1.8808.

Hence,

I hope this solves your doubt.

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