Question 4: A dataset contains measurements of strength for a particular material obtained from random samples of 4 different (independent) suppliers (i.e. Strength 1 = strength of material from supplier 1). Use the information provided in the tables below to answer the questions that follow. SUMMARY Groups Count Sum Average Variance Strength 1 10 112.0252 11.20252 3.978936 Strength 2 10 89.37722 8.937722 8.881372 Strength 3 10 106.8255 10.68255 1.215367 Strength 4 10 88.37952 8.837952 3.531657 ANOVA Source of Variation SS of MS F P-value F crit Between Groups 43.61938 3 14.53979 3.303123 0.031054 2.866266 Within Groups 158.466 36 4.401833 Total 202.0854 39 (a) What hypotheses are being tested? Clearly define any variables/parameters used. (b) Are the conditions for ANOVA met? (c) Assuming the conditions are met, what can we conclude at a 5% significance level? Provide a practical interpretation of your decision