A random sample of 18 purchases showed the amounts in the table (in $). The mean is $49.24 and the standard deviation is $18.29 21.35 21.75 41.80 62.585 a) What is the standard error of the mean? 22.66 42.83 43.14 81.93 b) How would the standard error change if the sample size had been 2 instead of 18? (Assume that the sample standard deviation didn't change.) 64.88 45.38 52.56 72.85 53.18 34.85 36.23 56.78 76.80 54.75 a) The standard error of the mean is 4.31 . (Round to two decimal places as needed.) b) How would the standard error change if the sample size was 2 instead of 18 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