The length of time it takes to get through the security checks at a very large urban airport is a random variable with a mean of $\mu$ = 20.6 minutes and a standard deviation of $\sigma$ = 8.4 minutes.A simple random sample of 36 airline passengers is to be observed going through security.What is the variance of the sampling distribution of the sample mean ?
A)8.4 minutes
B)20.6 minutes
C)1.4 minute
D)None of the above
E)It is close to 8.4 minutes,but we can't be certain without having the data to determine it.

Question

The length of time it takes to get through the security checks at a very large urban airport is a random variable with a mean of $\mu$ = 20.6 minutes and a standard deviation of $\sigma$ = 8.4 minutes.A simple random sample of 36 airline passengers is to be observed going through security.What is the variance  of the sampling distribution of the sample mean  ?
A)8.4 minutes 
B)20.6 minutes 
C)1.4 minute 
D)None of the above 
E)It is close to 8.4 minutes,but we can't be certain without having the data to determine it.

Quizplus · Accepted Answer

The Answer of The length of time it takes to get through the security checks at a very large urban airport is a random variable with a mean of $\mu$ = 20.6 minutes and a standard deviation of $\sigma$ = 8.4 minutes.A simple random sample of 36 airline passengers is to be observed going through security.What is the variance  of the sampling distribution of the sample mean  ?
A)8.4 minutes 
B)20.6 minutes 
C)1.4 minute 
D)None of the above 
E)It is close to 8.4 minutes,but we can't be certain without having the data to determine it.

The Length of Time It Takes to Get Through the Security