Question

13.) The heights (in inches) of males in the United States are believed to be approximately normally

distributed with mean u. The mean height of a random sample of 25 adult American males is found to

be x = 69.72 inches and the standard deviation is 4.15 inches. What is the standard error of x?

a) 0.170

b) 0.690

c) 0.830

d) 1.836

e) 2.040

Answer 1

Option C) 0.830

Explanation:

We are given the following in the question:

The heights (in inches) of males in the United States are believed to be approximately normally distributed with mean
`\mu`.

Sample size, n = 25

Sample mean,
`\bar{x}` = 69.72 inches

Standard deviation,
`\sigma` = 4.15 inches

We have to find the standard error of
`\bar{x}`.

Standard error =

`(\sigma)/(√(n)) = (4.15)/(√(25)) = (4.15)/(5) = 0.83`

Thus, the standard error of
`\bar{x}` is 0.83 inches.

The correct answer is

Option C) 0.830