Mathematics questions

1. Explain the notions of mathematical differences, managerially important differences, and statistical significance. Can results be statistically significant and yet lack managerial importance. Explain your
   answer.
2. Describe the steps in the procedure for testing hypotheses. Discuss the difference between a null hypothesis and an alternative hypothesis.
3. What purpose does a scatter diagram serve?
4. The following ANOVA summary data are the result of a regression with sales per year (dependent variable)as a function of promotion expenditures per year (independent variable) for a toy company.
   F = MSA = 34,276
   MSE 4,721
   The degrees of freedom are 1 for the numerator and 19 for the denominator. Is the relationship statistically significant at " = .05? Comment on your answer.

Sample Solution