1. In designing an experiment, the researcher can often choose many different levels of thevarious factors in order to try to find the best combinations at which to operate. As anillustration, suppose the researcher is studying a certain chemical reaction and can choose fourlevels of temperature, five different pressures, and two different catalysts.a) To consider all possible combinations, how many experiments would need to beconducted?b) Often in preliminary experimentations, each factor is restricted to two levels. With thethree factors noted, how many experiments would need to be run to cover all possiblecombinations with each of the three factors at two levels?

Answered: Image /qna-images/answer/97152949-408b-49da-a337-7b9ee335b10f.jpg

Answered: s in order to try to find the best…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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R3.40. Fuel efficiency Wayne Collier designed an experiment to measure the fuel efficiency of his family car under different tire pressures. For each run, he set the tire pressure to either 28 or 32 psi and then measured the miles driven on a high- way (I-95 between Mills River and Pisgah Forest, NC) until he ran out of fuel using 2-liters of fuel each time. He also used two different types of gasoline (regular and premium). To run the experiment he made some alterations to the normal flow of gasoline to the engine. In Wayne's words, "I inserted a T-junction into the fuel line just before the fuel filter, and a line into the passenger compartment of my car, where it joined with graduated 2 liter Rubbermaid bottle that I mounted in a box where the passenger seat is normally fastened. Then I sealed off the fuel-return line, which under normal operation sends excess fuel from the fuel pump back to the fuel tank." a) Identify the factors and the levels in the experiment. b) How many times…
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