A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.12 lb, the mean of all of the weights is x=2.172 lb, and the standarddeviation of the weights is s= 1.931 lb.a. What is the difference between the weight of 5.12 lb and the mean of the weights?b. How many standard deviations is that [the difference found in part (a)]?c. Convert the weight of 5.12 lb to a z score.d. If we consider weights that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the weight of 5.12 lb significant?a. The difference islb.(Type an integer or a decimal. Do not round.)