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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:

Psychopaths

People who are considered to be predisposed via temperament to antisocial behaviour and whose primary characteristics include callousness and grandiosity combined with a history of poor self-regulation.

Physical Punishment

A disciplinary technique involving the infliction of bodily pain or discomfort to correct or punish a person's behavior.

Punisher's Intention

Describes the motive or goal behind punitive actions, often explored in psychological and criminological studies to understand the effects of punishment.

Dependent

Reliant on someone or something else for support, sustenance, or aid.

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