Use technology to solve the following problem: A sample of size 45 will be drawn from a population with mean 94 and standard deviation 14. Find the 32nd percentile of $\bar { x }$
A) 97.7
B) 93.0
C) 95.4
D) 91.2

Question

Quizplus · Accepted Answer

The 32nd percentile of the sample mean $\bar{x}$ can be found using the normal distribution. The standard deviation of the sample mean is $\sigma/\sqrt{n} = 14/\sqrt{45}$. Using a standard normal distribution table or calculator, find the z-score for the 32nd percentile, then calculate the corresponding $\bar{x}$ value.

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