A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.15 lb, the mean of all of the weights is x overbarequals1.888 lb, and the standard deviation of the weights is sequals2.073 lb. a. What is the difference between the weight of 5.15 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 5.15 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 5.15 lb significant?
Mean = 1.888 lb
Standard deviation = 2.073
a) Difference = 5.15 - 1.888 = 3.262
b) How many standard deviation = 3.262/2.073 = 1.57 (approx), rounded to 2 decimal places)
c) z-score = 1.57 (because z-score is equal to how many standard deviation far from mean)
d) Since z-score for 5.15 lb is between -2 and 2 hence weight 5.15 lb is not significant.
Please comment if any doubt. Thank you.
A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.15...
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