A data set lists weights​ (lb) of plastic discarded by households. The highest weight is 5.58 ​lb, the mean of all of the weights is x=1.956 ​lb, and the standard deviation of the weights is s=2.332 lb.

a. What is the difference between the weight of 5.58 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 5.58 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 5.58 lb​ significant?