Question

v=v=a. report the descriptive statistics for each sample b. report and analyze the ANOVA test for the 3 systems

Controller	System A	System B	System C
1	15	15	18
2	14	14	14
3	10	11	15
4	13	12	17
5	16	13	16
6	13	13	13

Answer 1

system system Controller system А 15 15 18 14 14 14 196 2 11 10 15 system system system A C2 225 225 324 196 196 100 12) 225 144 289 256 169 256 169 169 169 3 12 17 169 4 13 16 13 16 5 13 13 6 Total 81 78 93 1115 1024 1459 N Hypothest Ho! MA = MB = "c Hi. At least one of the system mean differ. c.f. = (81 +78+93)? 18 CF = 3528 55 Total = Exig? - cf. = (1115 +1024+1459)- 3528 - 70

/ 55 Treat = ET:² mi cf. 3528 81 + 78 793 6 = 21 55 Emor = 55 Total 55 Treat 70-21 mean sum of Square (ms) Sum of square df ms (Treat) = 21 of K-3-1-2 = 10.5 df = N-K=18-3=15 ms (Ferror) = 49 15 3.2667 Test statistic f = m (Treat) 10.5 mscensor) 3.2667 3. 2143 font fo, df = fo.os, 2, is = 3.6823 Here f= 3.2143 < Finit = 3.6823 Accept the null hypother's conclusion: All system have the same population mean ANOVA Table source of df. sum of mean sum f-value F-critical lep-value variation Square of square Treatment 12 21 10.5 3,2143 3,6823 0.0689 Error 15 49 3.2667 Total 13 70

Here accept the null hypothesis.

Conclusion: All three system have the same mean