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Q1) Following statistics were deduced from the survey dividing total annual incomes of sponsored research university professors from those teaching at universities with little or no sponsored research:
Research University
Other University
Sample Size
N1= 250
N2= 400
Sample Mean
X‾1= 97400
X‾2= 68750
Sample Standard deviation
S1= 27200
S2= 24500
By using a 1% significance level, can it be demonstrated that population of research university professors earns significantly more, on average, than population of professors at other universities?
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