A data set lists weights (lb) of plastic discarded by households. the highest weight is 5.31 5.31 lb, the mean of all of the weights is x overbar x equals = 2.257 2.257 lb, and the standard deviation of the weights is s equals = 1.655 1.655 lb.

a. what is the difference between the weight of 5.31 5.31 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 5.31 5.31 lb to a z score.

d. if we consider data speeds that convert to z scores between minus −2 and 2 to be neither significantly low nor significantly high, is the weight of 5.31 5.31 lb significant?