A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.31 lb, the mean of all of the weights is x = 2.225 lb, and the standard deviation of the weights is s= 1.822 lb. a. What is the difference between the weight of 5.31 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 5.31 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 5.31 lb significant? a. The difference is lb. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed.) d. The highest weight is ▼

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A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.31 lb, the mean of all of the weights is \( \bar{x} = 2.225 \) lb, and the standard deviation of the weights is \( s = 1.822 \) lb.

a. What is the difference between the weight of 5.31 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 5.31 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 5.31 lb significant?

---

a. The difference is \(\_\_\_\) lb.  
(Type an integer or a decimal. Do not round.)

b. The difference is \(\_\_\_\) standard deviations.  
(Round to two decimal places as needed.)

c. The z score is \( z = \_\_\_\).  
(Round to two decimal places as needed.)

d. The highest weight is \(\_\_\_\_\_\).  
(Choose whether the weight is significantly high, significantly low, or neither.)
Transcribed Image Text:A data set lists weights (lb) of plastic discarded by households. The highest weight is 5.31 lb, the mean of all of the weights is \( \bar{x} = 2.225 \) lb, and the standard deviation of the weights is \( s = 1.822 \) lb. a. What is the difference between the weight of 5.31 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 5.31 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 5.31 lb significant? --- a. The difference is \(\_\_\_\) lb. (Type an integer or a decimal. Do not round.) b. The difference is \(\_\_\_\) standard deviations. (Round to two decimal places as needed.) c. The z score is \( z = \_\_\_\). (Round to two decimal places as needed.) d. The highest weight is \(\_\_\_\_\_\). (Choose whether the weight is significantly high, significantly low, or neither.)
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