A nursery sells trees of different types and heights. These trees average 60 inches in height with a standard deviation of 16 inches. Suppose that 75 pine trees are sold for planting at City Hall. What is the standard deviation for the sample mean?
A) 1.85
B) 3.41
C) 4
D) 16

Question

Quizplus · Accepted Answer

The standard deviation for the sample mean, also known as the standard error, is calculated by dividing the population standard deviation by the square root of the sample size: $ \sigma_{\bar{x}} = \frac{\sigma}{\sqrt{n}} $, where $ \sigma = 16 $ inches and $ n = 75 $. Thus, $ \sigma_{\bar{x}} = \frac{16}{\sqrt{75}} \approx 1.85 $.

A Nursery Sells Trees of Different Types and Heights