12 10 Points Details Aswsbe14 13 Tb 2 014 My Notes Ask Your Te You May Need To Use The Appropriate Appendix Table 1 (61.22 KiB) Viewed 31 times
12. [-/10 Points] DETAILS ASWSBE14 13.TB.2.014. MY NOTES ASK YOUR TE You may need to use the appropriate appendix table or technology to answer this question. In a completely randomized experimental design, 11 experimental units were used for each of the 3 treatments. Part of the ANOVA table is shown below. (a) Fill in all the blanks in the ANOVA table. Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between Treatments 1,496 Within Treatments (Error) Total 4,796 (b) At a 0.05 level, test to determine whether or not the means of the three populations are equal. State the null and altern hypotheses. O Ho: \, * uz #uz Ha: My = y2 = M3 O Ho: At least two of the population treatment means are different. Ha: My = uz = M3 O Ho: M1 = \z = uz Hai My & M₂ 7 M3 O Ho: My = uz = 3 Ha: At least two of the population treatment means are different. O Ho: Mi Hz uz Ha: At least two of the population treatment means are different. Find the value of the test statistic.
Find the value of the test statistic. Find the critical value corresponding to a level a = 0.05 test to see if there is a significant difference among the treatment means. (Round your answer to two decimal places.) What conclusions can we draw? O We should not reject He and therefore we cannot conclude there is a significant difference among the mean response of the three treatments. o We should reject Ho and therefore we can conclude there is a significant difference among the mean response of the three treatments. O We should not reject H, and therefore we can conclude there is a significant difference among the mean response of the three treatments. o We should reject H, and therefore we cannot conclude there is a significant difference among the mean response of the three treatments.
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