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?
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?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F097e74ad-5764-4a6b-9b91-c80f01d1e1b4%2F87a79a39-be31-428e-b6a4-31dbad3a93bb%2F3tflxrh_processed.png&w=3840&q=75)
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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