The St. Joe Company grows pine trees and the average annual increase in tree diameter is 3.1 inches with a standard deviation of 0.5 inch. A random sample of n = 50 trees is collected. What is the probability of the sample mean being less the 2.9 inches?
A) 0.4977
B) 0.0023
C) 0.9977
D) 0.9954

Question

Quizplus · Accepted Answer

The sample mean follows a normal distribution with mean 3.1 and standard deviation 0.5/sqrt(50). The z-score for 2.9 is calculated and the probability is found using the standard normal distribution table.

The St Joe Company Grows Pine Trees and the Average Annual