Question

a data set lists weights (lb) of plastic discarded by households. the highest weight is 5.13 lb, the mean of all of the weights is \\( \bar { x } = 2.249 \\) lb, and the standard deviation of the weights is \\( s = 1.756 \\) lb.
a. what is the difference between the weight of 5.13 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 5.13 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 5.13 lb significant?
a. the difference is \\( \square \\) lb.
(type an integer or a decimal. do not round)

Explanation:

Step1: Calculate the difference

The formula for the difference between a value \(x\) and the mean \(\bar{x}\) is \(x-\bar{x}\).
Here, \(x = 5.13\) lb and \(\bar{x}=2.249\) lb.
So, \(5.13 - 2.249\)

Step2: Perform the subtraction

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Answer:

\(2.881\)