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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:

Communication Channel

The medium through which a message is transmitted from sender to receiver, which can range from verbal and written to electronic methods.

Proficiency

The level of skill or competence someone has in a particular activity or field.

Online Forums

Web-based platforms where individuals can post messages, exchange information, and discuss various topics.

Instant Messaging

A type of online chat that offers real-time text transmission over the internet.

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