A survey of 25 randomly selected customers found the ages shown (inyears). The mean is 32.40 years and the standard deviation is 9.23years.

a) What is the standard error of themean?

b) How would the standard error change if the sample size had been 100 instead of 25? (Assume that the sample standard deviationdidn't change.)

Data set: 30, 19, 30, 33, 44, 21, 46, 26, 37, 34, 37, 43, 36, 40, 22, 27, 30, 38, 45, 28, 26, 33, 11, 48, 26

a) The standard error of the mean is __. (Round to two decimal places asneeded.)

b) How would the standard error change if the sample size was 100 instead of 25 with the same sample standarddeviation? Select the correct choice below and fill in any answer boxes within your choice.

A. The standard error would increase. The new standard error would be __ times the old.

B. The standard error would decrease. The new standard error would be the old standard error divided by __.

C. The standard error would not change.

Please show all work thanks!