Slices of pizza for a certain brand of pizza have a mass that isapproximately normally distributed with a mean of 67.3 grams and astandard deviation of 2.01 grams. a) For samples of size 22 pizzaslices, what is the standard deviation for the samplingdistribution of the sample mean? b) What is the probability offinding a random slice of pizza with a mass of less than 66.8grams? c) What is the probability of finding a 22 random slices ofpizza with a mean mass of less than 66.8 grams? d) What sample mean(for a sample of size 22) would represent the bottom 15% (the 15thpercentile)? in grams