# 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 overbarequals2.351 ​lb, and the standard deviation of the weights is sequals2.064 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 minus2 an

###### Question:

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 overbarequals2.351 ​lb, and the standard deviation of the weights is sequals2.064 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 minus2 and 2 to be neither significantly low nor significantly​ high, is the weight of 5.58 lb​ significant?

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