Question

A data set lists weights​ (lb) of plastic discarded by households. The highest weight is 5.15...

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 overbarequals2.186 ​lb, and the standard deviation of the weights is sequals1.733 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 data speeds 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?

Homework Answers

Answer #1

a. What is the difference between the weight of 5.15 lb and the mean of the​ weights?

Mean of weight is given by 2.186.

The difference between the weight of 5.15 lb and the mean of the​ weight is

(5.15 - 2.186) lbs = 2.964 lbs.

b. How many standard deviations is that​ [the difference found in part​ (a)]?

2.964lbs.

c. Convert the weight of 5.15 lb to a z score?

d. If we consider data speeds 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?

It is between -2 to +2 . Therefore it is neither significantly low nor significantly​ high, is the weight of 5.15 lbs​ significant

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