STA 6166 – Fall 2012 – Exam 3 – PRINT Name __________________Conduct all tests at = 0.05 significance levelQ.1 A study was conducted to compare adverse events between two dose levels of Escitalopram (10 mg, and 20 mg). Among n10 = 535 subjects receiving the 10 mg dose, y10 = 105 reported symptoms of nausea. Among n20 = 542 subjects receiving the 20 mg dose, y20 = 125 reported symptoms of nausea. p.1.a. Complete the following contingency table:p.1.b. Compute the following quantities:^ ^10 20__________________________ ____________________ ___________________p p p= = =p.1.c. Given the following quantities ( )^ ^ ^ ^10 10 20 2010 20 10 201 11 11 .0250 .0249n n n np p p pp p� � � �- -� � � �� �� � � �- + = + =� �� �p.1.c.i) Test H0: versus HA:≠ Test Statistic: ______________________ Rejection Region _________________ P-value < .05 or > .05p.1.c.ii) Obtain a 95% Confidence Interval for Q.2. An ergonomic study was conducted to compare computer keyboard preferences among 5 keyboards by gender. A sample of 66 females, and a sample of 36 males were obtained, and each participant selected their preferred keyboard.:p.2.a. Complete the table of expected valuesp.2.b. Compute the Chi-square statistic by completing the following table and give the rejection region for testing whether the distribution of damages differs by extinguisher presence/absence (H0: No association):Test Statistic______________________ Reject H0 if test statistic __________________________________Q.3.A two factor experiment was conducted in a RCBD. Factor A had 4 levels, factor B had 3 levels, and there were 6 blocks. Give the sources and degrees of freedom for the analysis of variance table.Q.4. In a random sample of n = 100 adult fish from a large lake, y = 63 have a particular genetic trait. Test whether a majority of all adult fish in the lake have the trait. H0: ≤ 0.50 versus HA: > 0.50Test Statistic: ______________________________ Rejection Region: _________________________________Q.5. A study of the largest ski resorts in Scotland looked at whether event of ski injury was related to whether or not it wasthe participants first day at the resort (FDP). The following table gives the results. Obtain the estimated Odds Ratio, and its 95% Confidence Interval, where: odds(Injury|FDP)odds(Injury|non-FDP)OR = Hint: (1/381) + (1/144) + (1/1743) + (1/1638) = .01075Estimated Odds Ratio: _______________________ 95%CI: _____________________________________Does this study provide evidence of an association between first day participation and injury? Yes or NoQ.6.A study was conducted to compare the energy efficiencies among a=3 clothing types b=4 dryer types. There were 3 replicates for each combination of clothing type and dryer type. The cell means and marginal means are given below.p.5.a. Complete the following ANOVA table.p.5.b. Use Bonferroni’s method to compare all pairs of Dryer
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