Provide an appropriate response.
-Assume that the heights of men are normally distributed with a mean of $67.9$ inches and a standard deviation of $2.1$ inches. If 36 men are randomly selected, find the probability that they have a mean height greater than $68.9$ inches.
A) $0.0021$
B) $0.0210$
C) $0.9005$
D) $0.9979$

Question

Quizplus · Accepted Answer

The standard error of the mean is $ \frac{2.1}{\sqrt{36}} = 0.35 $. The z-score for a mean height of 68.9 inches is $ \frac{68.9 - 67.9}{0.35} = 2.857 $. Using the standard normal distribution table, the probability of a z-score greater than 2.857 is approximately 0.0021.

Provide an Appropriate Response 67.967.967.9 Inches and a Standard Deviation Of 2.12.12.1

Provide an Appropriate Response $67.9$ Inches and a Standard Deviation Of $2.1$