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Administrative Assistants in a Local University Have Been Asked to Prove

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Short Answer

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.
A) Calculate the expected value and the standard deviation (standard error) of the sample mean.
B) What is the probability that the sample mean score is more than 75, the predetermined passing score?


Definitions:

Stamps

Small adhesive pieces of paper issued by postal authorities to be affixed to mail as evidence of payment of postage.

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A healthcare facility known for providing medical treatment, research, and education, possibly referring to several hospitals with similar names.

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A period of time allocated for rest, travel, or recreation, often away from one's regular work or school environment.

Groove

A term that can refer to a musical rhythm that feels particularly compelling or to a long, narrow cut or depression in a surface.

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