A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.74 lb, the mean of all of the weights is x = 1.866 lb, and the standard deviation of the weights is s=2.472 lb. a. What is the difference between the weight of 5.74 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 5.74 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 5.74 lb significant?

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A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.74 lb, the mean of all of the weights is x = 1.866 lb, and the standard deviation of the weights is s = 2.472 lb.
a. What is the difference between the weight of 5.74 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 5.74 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 5.74 lb significant?
Transcribed Image Text:A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.74 lb, the mean of all of the weights is x = 1.866 lb, and the standard deviation of the weights is s = 2.472 lb. a. What is the difference between the weight of 5.74 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 5.74 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 5.74 lb significant?
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