Question 1: True or False (30 points - 5 points each) Please answer the following questions "True" or "False" and provide an explanation of no more than 3 sentences. The explanation is the most important part of the answer and full credit will not be given for an answer lacking an explanation. (a) If two events cannot happen at the same time, then they are independent. (b) Ice cream preference is a discrete variable and ordinal level of measurement. (c) For a normal distribution, the median is always less than the mean. (d) For a normal distribution, the number of data points that lie within one standard deviation of the mean is the same as the number of data points contained within the interquartile range (IQR). (e) Arithmetic mean is always the best measure of location to describe the central tendency of a set of data. (f) The average GPA of 3.35 from class of 20 at Sejong University is the population mean