Question

In: Statistics and Probability

A comparison of salaries at comparable institutions in two states was undertaken to examine if states...

  1. A comparison of salaries at comparable institutions in two states was undertaken to examine if states pay professors similarly. Professors in each institution were selected and then matched on the basis of gender, length of service with the institution, number of publications, number of grants obtained, and average student evaluations.  The data are as follows.

            Pair     State "T"       State "G"                   Pair     State "T"       State "G"       

            1          38,432             42,134                         6          39,232             42,143

            2          47,984             49,243                         7          48,394             50,003

            3          58,423             63,243                         8          51,248             53,381

            4          35,345             36,454                         9          64,458             68,454

            5          43,214             44,365                         10        42,345             43,294

                        

  1. What is the null hypothesis?
  2. What is the alternative hypothesis?
  3. What test statistic will you use? Why?
  4. What alpha level will you set?
  5. What is the average salary for each state?
  6. What is the value of the test statistic?
  7. What is the p-value?
  8. What is your decision about the null hypothesis?
  9. What is your interpretation of the results? (2-3 sentences; 2pts).

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