Question

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.

Answer 1

3.625

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