Administrative Assistants in a Local University Have Been Asked to Prove

question 97

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?

• 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?

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Definitions:

Y-intercept

The point where a graph intersects the y-axis, representing the value of the dependent variable when all independent variables are zero.

X-intercept

The point where a curve intersects the x-axis on a graph, indicating where the function has a value of zero.

Y-intercept

The point where a line or curve intersects the y-axis of a graph.

Absolute Value

The distance of a number from zero on the number line, without considering which direction from zero the number lies.