A variable is normally distributed with a hypothesized population mean of 40 and a standard deviation of 8. What percentage of scores are less than 46?
A) 77.34%
B) 75.00%
C) 27.34%
D) 22.66%

Question

Quizplus · Accepted Answer

We can use the Z-score formula to find the proportion of scores that are less than 46:
Z = (X - μ) / σ
Z = (46 - 40) / 8
Z = 0.75
Using a standard normal distribution table, we can find that the proportion of scores less than 0.75 is 0.7734 or 77.34%. Therefore, the answer is A.

A Variable Is Normally Distributed with a Hypothesized Population Mean