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

Answer:

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

Step-by-step 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  

               $\sigma _ {\= x } = \frac{\sigma }{\sqrt{n} }$

substituting values

               $\sigma _ {\= x } = \frac{ 21 }{\sqrt{60} }$

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