Use technology to solve the following problem: A sample of size 51 will be drawn from a population with mean 11 and standard deviation 7. Find the probability that $\bar { x }$ will be less than 12.
A) 0.8106
B) 0.8462
C) 0.8390
D) 0.1538

Question

Quizplus · Accepted Answer

The sampling distribution of the sample mean $\bar{x}$ is approximately normal with mean 11 and standard deviation $\frac{7}{\sqrt{51}}$. Using the standard normal distribution, we find the probability that $\bar{x} < 12$ is approximately 0.8462.

Use Technology to Solve the Following Problem: a Sample of Size