Question 1 (2 points) We are checking whether the bags of dog food produced by 3 machines have equal mean weight. Consider the SPSS output below. Use a = 0.05 The hypotheses we are testing are: Ho : M1 = M2 = M3 Ha : Not all the means are equal Descriptives Weights 95% Confidence Interval for Std. Mean N Mean Deviation Std. Error Lower Bound Upper Bound Minimum Maximum 5 22.60 5.225 2.337 16.11 29.09 18 31 2 5 27.40 11.524 5.154 13.09 41.71 15 46 3 5 36.80 5.404 2.417 30.09 43.51 30 44 Total 15 28.93 9.558 2.468 23.64 34.23 15 46 Tests of Homogeneity of Variances Levene Statistic df1 df2 Sig Weights Based on Mean 889 2 12 436 Based on Median .718 12 508 Based on Median and with .718 6.964 521 adjusted of Based on trimmed mean 846 2 12 453 ANOVA Weights Sum of Squares df Mean Square F Sig. Between Groups 521.733 2 260.867 4.134 043 Within Groups 757.200 12 63.100 Total 1278.933 14 Post Hoc Tests Multiple Comparisons Dependent Variable: Weights Tukey HSD Mean 95% Confidence Interval (1) Supplier (J) Supplier Difference (I-J) Std. Error Sig. Lower Bound Upper Bound 2 -4.800 5.024 617 -18.20 8.60 3 -14.200' 5.024 038 -27.60 -.80 2 1 4.800 5.024 617 -8.60 18.20 3 -9.400 5.024 189 -22.80 4.00 14.200 5.024 038 .80 27.60 N - 9.400 5.024 .189 -4.00 22.80 *. The mean difference is significant at the 0.05 level.Your question is to decide (Yes/No} whether we can use the Tukey Multiple Comparison Test, and whether any of the machines are signicantly different. 0 Yes we can use the Tukey test. The weights of bags from Machines 2 8: 3 are significantly different. 0 Yes we can use the Tukey test. The weights of bags from Machines 1 8: 3 are significantly different. 0 No we cannot use the Tukey test. 0 Yes we can use the Tukey test. The weights of bags from Machines 1 8: 2 are significantly different