The Perdue Corporation recently released a report stating that the mean hourly pay rate for Its processing plant employees ls $13.?5 and the standard deviation is sass The shape of the distribution was not reported. Random samples of 30 Perdue processing plant employees are to be repeatedly chosen and each sample's mean hourly pay rate will be calculated. a] What Is the mean of the sampling distribution of i for n I an? is] What is the standard deviation of this sampling distribution? c] 1W'hat is the shape of the sampling distribution? Explain how you know this. d] Draw the normal curye representing this sampling distribution and shade the region representing those sample means that are greater than 514. e} What is the probability that a randomly chosen sample of on employees has a mean hourly pay rate greater than $14