A recruiter for a computer company would like to determine whether there are differences in sales ability between business, arts, and science graduates. She takes a random sample of 20 business graduates who have been working for the company for the past 2 years. Each is then matched with an arts graduate and a science graduate with similar educational and working experience. The com-mission earned by each(in $1,000s) in the last year was recorded.
a. Is there sufficient evidence at 1% significant level to allow the recruiter to conclude that there are differences in sales ability between the holders of the three types of degrees?
b. Is the matching work effective in part(a)?Why?
Solution :
Given that
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