5. Suppose that undergraduate research jobs at UC Berkeley have an average hourly wage of 515, and the standard deviation is $2.50. (a) Explain why the wages can't follow the normal curve, given that the minimum wage in California for large organizations like UCB is currently 513. (b) If all undergraduate researchers are given a 2% raise (that is, their hourly wage is multiplied by 1.02), then the new average hourly wage will be S , and the new standard deviation will be S (c) If all undergraduate researchers are given a 2% raise, which of the following will change? Explain your answers. YES or NO: the 25''1 percentile of all the hourly wages YES or NO: the percentile rank ofsomeone who was originally making $17 per hour (d) If we convert all the wages to standard units (either before or after the raise), the average of this list will be and the standard deviation of this list will be