Given an Infinite Population with a Mean of 75 and a Standard

question 54

Multiple Choice

Given an infinite population with a mean of 75 and a standard deviation of 12, the probability that the mean of a sample of 36 observations, taken at random from this population, exceeds 78 is:

• A)0.4332.
• B)0.0668.
• C)0.0987.
• D)0.9013.

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Definitions:

Confidence Interval

A range of values derived from sample data that is likely to contain the value of an unknown population parameter.

Standard Error

A measure of the statistical accuracy of an estimate, representing the variability of sampling distributions.

Mean

The arithmetic average of a set of values or a distribution, calculated by summing all the values and dividing by the number of values.

Organization-Level Incentive

A reward or bonus system designed to encourage and reward collective achievements of all members within an organization, aiming to drive overall organizational performance.