A data set lists weights (lb) of plastic discarded by households. The highest weight is

5.44

lb, the mean of all of the weights is

x=1.813

lb, and the standard deviation of the weights is

s=1.325

lb.

a. What is the difference between the weight of

5.44

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

5.44

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

5.44

lb significant?

Question content area bottom

Part 1

a. The difference is

3.6273.627

lb.

(Type an integer or a decimal. Do not round.)

Part 2

b. The difference is

2.742.74

standard deviations.

(Round to two decimal places as needed.)

Part 3

c. The z score is

z=2.742.74.

(Round to two decimal places as needed.)

Part 4

d. The highest weight is