The scores from a population resulted in a normally shaped distribution with a μ = 52 and a σ_M = 3. The obtained sample mean of 47 converted to a z-score of _________. A) +.56 B) -.56 C) +1.67 D) -1.67

Question

Quizplus · Accepted Answer

To find the z-score, we use the formula:

z = (X - μ) / σ

Where X is the sample mean, μ is the population mean, and σ is the standard deviation of the population.

Plugging in the values given in the problem, we get:

z = (47 - 52) / 3 = -1.67

Therefore, the z-score is -1.67, which corresponds to choice D.

The Scores from a Population Resulted in a Normally Shaped