MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.)](https://content.bartleby.com/qna-images/question/ecccc45a-2b97-4a81-a445-917c051abee8/6217049c-6876-4096-a1bb-1dddf516abf4/cj88e7_processed.png)
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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