The American Society for Quality (ASQ) conducted a salary survey of all its members. ASQ members work in all areas of manufacturing and service-related institutions, with a common theme of an interest...

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Extracted text: The American Society for Quality (ASQ) conducted a salary survey of all its members. ASQ members work in all areas of manufacturing and service-related institutions, with a common theme of an interest in quality. Two job titles are black belt and green belt. These titles are used in a company following a Six Sigma quality improvement initiative approach.) Descriptive statistics concerning salaries for these two job titles are given in the following table: Job Title Sample Size Mean Standard Deviation Black Belt 219 87,342 20,955 Green Belt 34 65,679 18,137 a. Assume a 0.05 level of significance. Is there an evidence of a difference in the variability of salaries between black belts and green belts? b. Based on the result of (a), which t test defined in the Section for 2-sample tests Comparing the Means of Independent Populations is appropriate for comparing mean salaries? c. Using a 0.05 level of significance, is there a difference between the mean salary of black belts and green belts?