The owner of a local theatre is interested in the average number of attendees for weeknight shows. She knows that the average number of attendees for weeknight shows over the past 20 years has been 1550 with a standard deviation of 180. She takes a sample of 36 weeknight shows from this year and finds the average has been 1400 and the standard deviation has been 120. What are the mean and standard deviation for the sampling distribution ofx?

A) Mean: 1400, Standard Deviation: 30

B) Mean: 1550, Standard Deviation: 20

C) Mean: 1400, Standard Deviation: 20

D) Mean: 1550, Standard Deviation:

Please give an explanation on why it is correct.