A designer collected information on the price of a random sample of newly designed products and the time required to manufacture each of these products. Below are the mean and standard deviation of...


A designer collected information on the price of a random sample of newly designed products and<br>the time required to manufacture each of these products. Below are the mean and standard<br>deviation of these two variables.<br>Variablee<br>Meane Standard deviation=<br>200<br>Price (in $)²<br>Manufacturing time (in hours)<br>50 e<br>0.61e<br>(a) Find the coefficient of variations (CV) for both variables. Give the exact answers in<br>percentage. Which one of the two variables has a larger variation?<br>(b) Interpret the coefficient of variations of the price of the products in part (a).<br>(c) Find the z-score of the price of a product which cost $275. Correct your answer to 2<br>decimal places.<br>(d) By using Chebyshev's theorem, at least what percentage of the products will have<br>manufacturing time lying within ( 2. 3 ) standard deviations from the mean? Correct<br>your answer to 1 decimal place|<br>

Extracted text: A designer collected information on the price of a random sample of newly designed products and the time required to manufacture each of these products. Below are the mean and standard deviation of these two variables. Variablee Meane Standard deviation= 200 Price (in $)² Manufacturing time (in hours) 50 e 0.61e (a) Find the coefficient of variations (CV) for both variables. Give the exact answers in percentage. Which one of the two variables has a larger variation? (b) Interpret the coefficient of variations of the price of the products in part (a). (c) Find the z-score of the price of a product which cost $275. Correct your answer to 2 decimal places. (d) By using Chebyshev's theorem, at least what percentage of the products will have manufacturing time lying within ( 2. 3 ) standard deviations from the mean? Correct your answer to 1 decimal place|

Jun 01, 2022
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