Question 3 An ANOVA was run to test to see if there was a significant difference in the average cost between three different types of fabric for a new clothing company. Random samples for each of the three fabric types was collected from different manufacturers. Assume the costs are normally distributed. At a = 0.10, an ANOVA test was run and a difference in the means was found. SUMMARY Groups Count Sum Average Variance A 34 10608 312 204.1212 B 37 11655 315 97.5 c 32 9600 300 2019.548 ANOVA Price Sum of Squares db Mean Square F Between Groups 4217.417 2 2 2108.700 2 895 .060 2 Within Groups 72852.000 100 728.520 Total 77000 417 102 Multiple Comparisons
Multiple Comparisons Dependent Variable Price Bonferroni Mean 90% Confidence interval Std (1) Fabric Type (J) Fabric Type Difference (1-3) Error Sig. Lower Bound Upper Bound Type A Туре в -3.00000 8.41224 1.000 -10.8387 10.8307 Type 0 12.00000 0.64780 222 -2.3450 20 3450 Туре в Type A 3.00000 0.41224 1.000 -10.8307 18.8367 Type C 15.00000 8.51583 070 9308 20.0002 Type C Type A -12.00000 8.84780 222 -20.3450 23450 Туре в - 15.00000 6.51583 070 -20.0602 - 0308 a) What is the correct null hypothesis for the Bonferroni comparison between fabrics B 8 С? Норд = Pв = Рco Норд - Pв Но? На = Pc Ho: PA = Pc Ho: At least one mean is different
0.222 7.000 0.060 0.070 2.3450 c) Based off the Bonferroi results which fabric type should you choose? Type C Type A or В Туре в Type A
Question 3 An ANOVA was run to test to see if there was a significant difference in the average cost between three diffe
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