STA 6166 – Exam 3 – Fall 2015 PRINT Name ________________________Conduct all tests at the = 0.05 significance level.Q.1. A study compared the deuterium/hydrogen (D/H) ratio at methyl for 5 variety of wines grown in north Xinjiang in 2009. There were samples of 4 wines from each variety. The means and standard deviations for the D/H ratios are given below. Complete the Analysis of Variance Table, and test for difference among Variety population means. 0 1 2 3 4 5:H m m m m m= = = =Studentized Range Critical Values (=0.05)Test Statistic ___________________ Rejection Region: ______________________ Reject H0? Yes NoQ.2. A study was conducted, comparing 5 treatments of khat, given to female rats for sexual motivation. There were n=6 rats per treatment, and MSE = s2 = 6.0 for the response: time spent in the incentive zone. Use Tukey’s HSD and Bonferroni’s method to compare all pairs of treatment means. State which pairs of treatment have significantly different means.Tukey’s W: _____________________________ Bonferroni’s B: ______________________________Q.3. Random samples of n1 = n2 =n3 = 12 players each from 3 men’s professional leagues were selected. The leagues were: 1=English Football (EPL), 2=North American Hockey (NHL), 3=American Basketball (NBA). Body Mass Indices were obtained for all N = 36 players sampled. Use the Kruskal-Wallis test to determine whether population medians differ among the leagues. H0: All population medians are equal.Test Statistic: ________________ Rejection Region: ___________________________ Reject H0? Yes NoQ.4. A Randomized Block Design was conducted where 7 food items (treatments) by 103 evaluators (blocks) to determine whether there are any differences in true mean “liking scores” among the 7 food items. The model fit and null hypothesis are: 0 1 71,...,7; 1,...,103 : ... 0ij i j ijY i j Hm a b e a a= + + + = = = = =p.4.a. Complete the following ANOVA table:p.4.b. Compute and interpret the relative efficiency of the Randomized Block to the Completely Randomized Design:Relative Efficiency : ___________________ # Raters per treatment needed for CRD: _________________p.4.c. Compute Bonferroni’s minimum significant difference for comparing all pairs to food items.Q.5. For each of the following scenarios, identify the relevant design (Completely Randomized (CRD), Randomized Block (RBD), Latin Square (LS)) and give the sources of variation, and their corresponding degrees of freedom.p.5.a. A study is being conducted to compare 3 drugs in terms of duration of sleep. A sample of 90 subjects suffering from insomnia are obtained and randomly assigned so that 30 get Drug A, 30 get Drug B, and 30 get Drug C. The amount of sleep each subject gets in a study period is recorded. Design: ___________________ Source df ------------------------------------------------------------p.5.b. An experiment is conducted to compare wear of tires for 18 brands of truck tires on “18 Wheelers”. A random sample of 18 tractor-trailer truck/drivers is selected from a company’s large fleet. The tire brands are assigned such that: 1) each brand is on each truck once and 2) each brand is on each of wheel position once.Design: ___________________ Source df ------------------------------------------------------------p.5.c. A study was conducted to compare firms with respect to 6 power bases (Information, Reward, Expertise, Referent, Legitimate, Coercive). Each base was observed in a firm from each of 4 industries (Cement, B2B, FMCG, Pharma). The goal was to compare mean scores for the 6 power bases, and removing industry specific variation.Design: ___________________ Source df
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