A survey of 25 randomly selected customers found the ages shown (in years). The mean is 33.56 years and the 39 36 22 22 240 standard deviation is 11.31 years. 26 45 48 33 38 a) What is the standard error of the mean? 38 11 12 23 36 b) How would the standard error change if the sample size had been 400 instead of 25? (Assume that the sample 34 29 36 36 49 standard deviation didn't change.) 20 49 48 36 49 a) The standard error of the mean is (Round to two decimal places as needed.) b) How would the standard error change if the sample size was 400 instead of 25 with the same sample standard deviation? Select the correct choice below and fill in any answer boxes within your choice. O A. The standard error would increase. The new standard error would be times the old. O B. The standard error would decrease. The new standard error would be the old standard error divided by O C. The standard error would not change