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?

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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?
Transcribed Image 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?
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