Question

QUESTION 2 An ANOVA is to be performed comparing 4 means. Using the information provided, calculates *1 = 12, X2 = 13, X3 = 16,4 = 15. Note: The overall mean is 7 = 14. Round your answer to two decimal places. QUESTION 3 A comparison of 4 means is to be performed using ANOVA. Given the following information, calculate the value of the F-Test statistic. Round your answer to two decimal places. sî - 3,53 - 11,5 - 14,54 - 12 = 2.3 and n = 10 QUESTION 4 Below is the ANOVA output table for an Analysis of Variance. Complete the table to find the value of the F-Test Statistic. The answer will be an integer. MS = Ftest Source of Variation of ss SS/df MSTreat/MSError Treatment (Between) 5 30 Error (Within) 1648 Total 21 QUESTION 5 Below is output from Tukey's test for an ANOVA problem. Determine which mean is different. Comparison Lower Limit Upper Limit Mean 2 to Mean 1 -2.75 3.12 Mean 3 to Mean 1 1.45 4.33 Mean 4 to Mean 1 -1.66 2.81 Mean 3 to Mean 2 0.49 3.11 Mean 4 to Mean 2 -3.47 0.55 Mean 4 to Mean 3 -1.96 -0.22 O Mean 1 is different than Means 2, 3, 4 O Mean 2 is different than Means 1,3,4 Mean 3 is different than Means 1, 2,4 Mean 4 is different than Means 1,2,3

Answer 1

Answer: 2) From the given data, Xi =12, Xq=13, X3 = 16, X4 = 15 &n=4 X=14 2 E(xi-x)² (12-14) ² (13-148+ (16-143²4 (15-143² 4-1 4+1+4+1 3 lo -3.3333 Sx=3.33 3) from the given data, Si=8, S = 11, 5oz = 14,54 =12 , S 7 = 2.3 and n=10 To find F-test: si + 5 + 5 + 54 D-k Here K - Number of gooup=4 8+11+14+12 45 10-4 2 "Se = 7.5 S 2.3 F-test - -0.30667 20:31 7.5 F-Test = 0.31 Thank you