Suppose a Population Has a Mean of 870 and a Variance

question 27

Multiple Choice

Suppose a population has a mean of 870 and a variance of 8,100.If a random sample is size 36 is drawn from the population, the probability that the sample mean is between 840 and 900 is ___.

• A)0.9544
• B)0.6826
• C)0.8185
• D)0.5899
• E)0.0897

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Definitions:

Face Validity

Superficial observation that a test appears to cover the correct content or domain. This is not an actual form of validity since the appearance of test items may or may not accurately reflect the domain.

Pilot Study

A small-scale preliminary study conducted to evaluate feasibility, time, cost, risk, and adverse events, used to improve the design of a future full-scale research project.

Cross-Cultural Fairness

In assessment or testing, the principle of ensuring that tools and practices are equitable and do not favor one cultural group over others.

Item Response Theory

A theory and method in psychometrics that models the relationship between individuals' abilities or latent traits and their item responses, considering the properties of the items themselves.