According to the National Health Survey, the weights of individuals are normally distributed. Men have an average
weight of 172 pounds, with a standard deviation of 29 pounds.
Suppose we select 64 male students from Math 203. Find the
sample standard deviation for this sample. Give your answer to
three decimal points.

3.625

Step-by-step explanation:

Given a normal distribution :

Average weight = population mean = 172 pounds

Population standard deviation = 29 pounds

Number of samples selected(n) = 64

The standard deviation of the sample also called the standard error is the proportion of the population standard deviation to the square root of the number samples.

Sample standard deviation :

Population standard deviation /√n

= 29 /√64

= 29 / 8

= 3.625