Question

The average college lecture hall (auditorium) can seat 60 students with a standard deviation of 21. Assume that a total of 60 lecture halls are selected for a sample. What is the standard deviation for the sample mean?

Answer 1

The standard deviation of the sample mean is
`\sigma _ {\= x } = 2.711`

Explanation:

From the question we are told that

The mean is
`\= x = 60`

The standard deviation is
`\sigma = 21`

The sample size is
`n = 60`

Generally the standard deviation of the sample mean is mathematically represented as

`\sigma _ {\= x } = (\sigma )/(√(n) )`

substituting values

`\sigma _ {\= x } = ( 21 )/(√(60) )`

`\sigma _ {\= x } = 2.711`