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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?

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?

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