I only need questions (e-i). (Question 1: Two-Factor ANOVA): A researcher workin
ID: 3322396 • Letter: I
Question
I only need questions (e-i). (Question 1: Two-Factor ANOVA): A researcher working for an energy drink company is interested in assessing the extent to which both the caffeine content and carbonation of their new energy drink formula influences an individual's arousal level. For the "caffeine content" variable (Factor A), the researcher compares Low Concentrations (50 mg/h6 fl. oz. can) to High Concentrations (250 mg/16 fl. oz. can), whereas for the "carbonation" variable (Factor B), the researcher compares Carbonated to Non-Carbonated beverages. The researcher selects a random sample of N 40 individuals and randomly assigns n 10 individuals then asks the separate groups of individuals to drink a to each of the four different conditions. The researcher 16 fl. oz. can containing one of the four combinations of energy drink formulas and then measures their arousal arousal arousal.) Below are the results of the experiment in table fo scores on The Arousal Scale ten minutes after the beverage is consumed. The Arousal Scale measures on a continuous scale of 0-20 (ow scores indicating lower arousal and high scores indicating higher Question 1: Two-Factor ANOVA: TABLE Carbonated Non-Carbonated 6 12 10 8 5 (50 mg) TRow's 140 M = 5.8 T.58 n= 10 ss = 47.6 T= 82 n= 10 N=40 G # 366 19 High (250 mg) 18 16 = 4588 17 TROw2 226 ss,or = 1239.1 dfror 39 18 M 17.9 6 M = 4.7 T= 47 T= 179 SS = 16.9 ss =38.1 n= 10 TCOLI = 261 TCOL2= 105 a) State the two Independent Variables in this research study and their levels. b) State the Dependent Variable in this research study. c) State ALL of the null and alternate hypotheses for this research study (for each effect). d) Calculate ALL of the appropriate test statistics for this research study (for each effect). e) Determine ALL of the critical regions for this test at alpha 0.01 (for each effect). f) What are ALL of the correct decisions with respect to your hypotheses (for each effect)? 8) Calculate one measure of effect size (n2) for ALL of your F-tests. h) Depending on the result of your interaction hypothesis, conduct the appropriate test of simple main effects in order to determine which level of A depends on which level of B, making sure to note the F- critical value (at alpha 0.01) and obtained F-ratio for each simple main effect. Interpret (in words) the results of ALL of your hypothesis tests, including proper statistical notation. i)Explanation / Answer
(a) The two independent variables are Caffein Content and Carbonation.The level are low conc = 50mg and high conc = 250 mg for the caffeine content and either the drink is coarbonated or not carbonated for the carbonation level
(b) The dependent variable is Arousal level as this is measured as fucntion of the above two independent variables
(c) The Null hypothesis H0: Carbonation and caffeine content influence arousal
Alternative hypothesis: Carbonation and caffeine content do not influence arousal
The value of the arousal level can be decided ona cut off level taken on the arousal scale
(d) The test statistic used in the case is the F-test in a two factor block design for each effect, If this F value gives a p value less then alpha then we reject the null hypothesis