The American Society for Quality (ASQ) conducted a salary survey of all its memb
ID: 3294733 • Letter: T
Question
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 master black belt and green belt. (See Section 14.6, for a description of these titles in a Six Sigma quality improvement initiative.) Descriptive statistics concerning salaries for these two job titles are given in the following table:
Job Title
Sample Size
Mean
Standard Deviation
Master Black Belt
141
88,945
21,791
Green Belt
26
64,794
25,911
Using a 0.05 level of significance is there a difference in the variability of salaries between black and green belts?
Based on the result of the first question which T test defined appropriate for comparing salaries?
Using a 0.05 level of significance is the mean salary of black belts greater than the mean salary of green belts?
Job Title
Sample Size
Mean
Standard Deviation
Master Black Belt
141
88,945
21,791
Green Belt
26
64,794
25,911
Explanation / Answer
Two-Sample T-Test and CI
Method
Equal variances are not assumed for this analysis.
Descriptive Statistics
Estimation for Difference
Test
here p-value = 0.000 < 0.05
hence we reject the null and conclude that there is a significant difference in the variability of salaries between black and green belts
b)
Two-Sample T-Test and CI
Method
Equal variances are not assumed for this analysis.
Descriptive Statistics
Estimation for Difference
Test
since p-value for rigth-tailed test is 0.000 < 0.05
there is significant evidence that the mean salary of black belts greater than the mean salary of green belts
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