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:
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Research University
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Other University
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Sample Size
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N1= 250
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N2= 400
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Sample Mean
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X‾1= 97400
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X‾2= 68750
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Sample Standard deviation
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S1= 27200
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S2= 24500
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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?
Q2) To measure attitude differences between Mid-country citizens and coastal citizens, census bureau performed split sampling process. Survey instrument was distributed to 440 Mid country residents and to 660 coastal residents. Synopsis results illustrated that 280 of mid country residents were dissatisfied with their lives, whereas 332 of coastal residents indicated dissatisfaction. Using a 5% level of significance, can we say that, generally there is important difference between satisfaction levels of mid country residents and coastal residents?