A data set lists weights​ (lb) of plastic discarded by households. The highest weight is 5.67 ​lb, the mean of all of the weights is x=2.176 ​lb, and the standard deviation of the weights is s=1.325 lb.   a. What is the difference between the weight of 5.67 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 5.67 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 5.67 lb​ significant?

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A data set lists weights​ (lb) of plastic discarded by households. The highest weight is
5.67
​lb, the mean of all of the weights is
x=2.176
​lb, and the standard deviation of the weights is
s=1.325
lb.
 
a. What is the difference between the weight of
5.67
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
5.67
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
5.67
lb​ significant?
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