BUS 308 Statistics for Managers Week 2 Assignment 2

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Score:Week 2Testing means - T-tests                  Q3             
  In questions 2 and 3, be sure to include the null and alternate hypotheses you will be testing.            HoFemale MaleFemale            
  In the first 3 questions use alpha = 0.05 in making your decisions on rejecting or not rejecting the null hypothesis.        4534 1.0171.096            
                   4541 0.8701.025            
<1 point>1Below are 2 one-sample t-tests comparing male and female average salaries to the overall sample mean.           4523 1.1571.000            
  (Note: a one-sample t-test in Excel can be performed by selecting the 2-sample unequal variance t-test and making the second variable = Ho value -- see column S)   4522 0.9790.956            
  Based on our sample, how do you interpret the results and what do these results suggest about the population means for male and female average salaries?    4523 1.1341.000            
  Males   Females            4542 1.1491.050            
  Ho: Mean salary = 45  Ho: Mean salary = 45           4524 1.0521.043            
  Ha: Mean salary =/= 45  Ha: Mean salary =/= 45           4524 1.1751.043            
                   4569 1.0431.210            
  Note: While the results both below are actually from Excel's t-Test: Two-Sample Assuming Unequal Variances,         4536 1.1341.161            
  having no variance in the Ho variable makes the calculations default to the one-sample t-test outcome - we are tricking Excel into doing a one sample test for us.    4534 1.0431.096            
   MaleHo  FemaleHo          4557 1.0001.187            
  Mean5245 Mean3845          4523 1.0741.000            
  Variance3160 Variance334.6670          4550 1.0201.041            
  Observations2525 Observations2525          4524 0.9031.043            
  Hypothesized Mean Difference0  Hypothesized Mean Difference0           4575 1.1221.119            
  df24  df24           4524 0.9031.043            
  t Stat1.96890383  t Stat-1.9132           4524 0.9821.043            
  P(T<=t) one-tail0.03030785  P(T<=t) one-tail0.03386           4523 1.0861.000            
  t Critical one-tail1.71088208  t Critical one-tail1.71088           4522 1.0750.956            
  P(T<=t) two-tail0.0606157  P(T<=t) two-tail0.06772           4535 1.0521.129            
  t Critical two-tail2.06389856  t Critical two-tail2.0639           4524 1.1401.043            
  Conclusion: Do not reject Ho; mean equals 45Conclusion: Do not reject Ho; mean equals 45         4577 1.0871.149            
  Is this a 1 or 2 tail test?   Is this a 1 or 2 tail test?                             
  - why?   - why?                             
  P-value is:   P-value is:            4555 1.0521.145            
  Is P-value > 0.05?   Is P-value > 0.05?            4565 1.1571.140            
  Why do we not reject Ho?   Why do we not reject Ho?                             
 Interpretation:                                  
                                    
                                    
                                    
                                    
<1 point>2Based on our sample data set, perform a 2-sample t-test to see if the population male and female average salaries could be equal to each other.                      

 

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