Question

A data set lists weights (Ib) of plastic discarded by households. The highest weight is 5.17 lb, the mean of all of the weights is x - 1.815 lb, and the standard deviation of the weights is s 1.822 lb a. What is the difference between the weight of 5.17 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 5.17 lb to a z score. d. If we consider data speeds that convert to z scores between 2 and 2 to be neither significantly low nor significantly high, is the weight of 5.17 lb significant? a. The difference is lb. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations (Round to two decimal places as needed.) c. The z score is z- Round to two decimal places as needed.) d. The highest weight is Enter your answer in each of the answer boxes

Answer 1

(a)

The difference between the weight and the mean of the weights is

Answer: 3.355

(b)

$\frac{5.17-1.815}{1.822}=1.84$

Answer: 1.84

(c)

The z-score is

$z=\frac{5.17-1.815}{1.822}=1.84$

(d)

The highest weight is 5.17.