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 mean of the sampling distribution of the sample mean ?
A)8.4 minutes
B)20.6 minutes
C)1.4 minute
D)It is close to 20.6 minutes,but we can't be certain without having the data to determine it.
E)Without knowing the distribution,we don't know what it will be.

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 mean  of the sampling distribution of the sample mean  ?
A)8.4 minutes 
B)20.6 minutes 
C)1.4 minute 
D)It is close to 20.6 minutes,but we can't be certain without having the data to determine it. 
E)Without knowing the distribution,we don't know what it will be.

Quizplus · Accepted Answer

The mean of the sampling distribution of the sample mean is equal to the population mean, which is given as 20.6 minutes.

The Length of Time It Takes to Get Through the Security