A researcher wants to know whether the area in cm that rosin was applied to cello bow (small or large) and the brand of rosin lPirastro or Andrea] affects the sound quality perceived. To conduct the experiment. the researcher recruits twenty participants. Participants were assigned to one of four groups and then played the same classical piece. A group of 5 raters then scored the players in terms of sound quality on a 1-7-point scale. Small. Pirastro: M = 5.66. SD = 0.93 Small.Andrea: M = 3.03. SD = 0.75 Large, Pirastro: M = 6.89, SD = 1.96 Large, Andrea: M = 4.01, SD = 2.03 Does the area of application and brand affect sound quality ratings? Solve the research problem using the logic of hypothesis testing, a = .05. To receive full credit. you must (a) label all steps of your test. and lb) show all work (including computations)\". For this test. you DO need to formally report your ndings. as well as perform necessary post hoc and effect size computations. Show all of your work. and make sure to clearly complete an ANOVA source table. *IMPOR'iANT REMINDER: All work and responses must be typed, NOT uploaded as an image or file. Source 55 Df MS F Between treatments 48.10 FactorA (area) 22.20 Factor E (brand) 11.10 MB 14.80 Within treatments 59.20 Total 107.30