5.5In a comparison of the cleaning action of four detergents, 20 pieces of white cloth were firstsoiled with India ink. The cloths were then washed under controlled conditions with 5 pieceswashed by each of the detergents. Unfortunately, three pieces of cloth were 'lost' in thecourse of the experiment. Whiteness readings, made on the 17 remaining pieces of cloth,are shown below. Detergent A BC D 77 74 73 76 81 66 78 85 61 58 57 77 76 69 64 69 63Assuming all whiteness readings to be normally distributed with common variance, test thehypothesis, with a = 0.05, of no difference between the four brands as regards meanwhiteness readings after washing.Ho:H₁:n₁SSB =SST=86362-A5364(364²5Test statistic:Decision:Conclusion:+Degrees of freedom:Rejection region:BCΣΣx = 863621204²1735198 340-=1090.47SSW1090.47-216.67=873.80D4302198² 340²302²+3Total17=n+340² 302²)-1204²-215171204 = T=216.67

Given information: Level of significance (α)=0.05 N=17 Total treatments are t =4…

Answered: 5.5 In a comparison of the cleaning…

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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r. Lyte wishes to study speed of Reaction Time to press a button in response to the onset of a lamp. The independent variable (IV) is the color of the light produced by the lamp (red, orange, yellow, green, or blue). Since only 10 participants are available, she elects to administer the IV within-subjects with all 10 participants being exposed to all five levels of the color variable. The order of the color of the light presentation is to be counterbalanced. Using concepts from the textbook, why would Dr. Lyte need to use counterbalancing in this scenario?
(b) A consumer testing agency is interested in determining whether there is a difference in the mileage for three brands of gasoline. To test this, four different vehicles are driven with each of these gasolines. Results are shown in the table below Gasoline Vehicle A B 19 25 22 II 26 33 39 20 28 25 IV 18 30 Perform a Freidmans test to detemine whether there is a difference between the three gasoline medians at the a = 5%. 21
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T=5, T, = 10, T3 =15, with SS1 = 6, SS2=9, SS3 = 9, and EX² = 94. For this study, what is SSwithin?
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