What is the probability that the sample mean score is more than 75, the predetermined passing score

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Administrative assistants in a local university have been asked to prove their proficiency in the use of spreadsheet software by taking a proficiency test. Historically, the mean test score has been 74 with a standard deviation of 4. A random sample of size 40 is taken from the 100 administrative assistants and asked to complete the proficiency test.

Answer the following questions rounding your final solution to 4 decimal places. To avoid rounding errors, please do not round intermediate steps in your calculations.

Hint: Think if you are facing a finite or infinite population in this problem and how it will affect the standard error you will use inside the Excel's function.

  • What is the probability that the sample mean score is more than 75, the predetermined passing score?
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