A random sample of 18 purchases showed the amounts in the table (in $). The mean is $48.82 and the standard deviation is $24.69. 2.41 61.51 41.59 22.40% a) What is the standard error of the mean? 81.62 43.38 44.68 44.81 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.) 7.49 84.37 42.27 42.25 72.63 86.46 33.54 54.20 75.74 37.44 (T 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 2 instead of 18 with the same sample standard deviation? Select the correct choice below and ll 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