BUS308 Week 2 Employee Salary Data (New Questions)

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Week 2Testing means             
 In questions 2 and 3, be sure to include the null and alternate hypotheses you will be testing.         
 In the first 3 questions use alpha = 0.05 in making your decisions on rejecting or not rejecting the null hypothesis.     
               
1Below are 2 one-sample t-tests comparing male and female average salaries to the overall sample mean.        
 (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)
 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? 
 Males   Females         
 Ho: Mean salary = 45  Ho: Mean salary = 45        
 Ha: Mean salary =/= 45  Ha: Mean salary =/= 45        
               
 Note: While the results both below are actually from Excel's t-Test: Two-Sample Assuming Unequal Variances,      
 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. 
  MaleHo  FemaleHo       
 Mean5245 Mean3845       
 Variance3160 Variance334.6670       
 Observations2525 Observations2525       
 Hypothesized Mean Difference0  Hypothesized Mean Difference0        
 df24  df24        
 t Stat1.96890383  t Stat-1.9132        
 P(T<=t) one-tail0.03030785  P(T<=t) one-tail0.03386        
 t Critical one-tail1.71088208  t Critical one-tail1.71088        
 P(T<=t) two-tail0.0606157  P(T<=t) two-tail0.06772        
 t Critical two-tail2.06389856  t Critical two-tail2.0639        
 Conclusion: Do not reject Ho; mean equals 45Conclusion: Do not reject Ho; mean equals 45      
 Is this a 1 or 2 tail test?   Is this a 1 or 2 tail test?         
 - why?   - why?         
 P-value is:   P-value is:         
 Is P-value > 0.05?   Is P-value > 0.05?         
 Why do we not reject Ho?   Why do we not reject Ho?         
Interpretation:              
               
               
               
               
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.  
 (Since we have not yet covered testing for variance equality, assume the data sets have statistically equal variances.)     
               
 Ho:              
 Ha:              
 Test to use:             
 Place  B43 in Outcome range box.           
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
 P-value is:             
 Is P-value < 0.05?             
 Reject or do not reject Ho:             
If  the null hypothesis was rejected, what is the effect size value:             
 Meaning of effect size measure:             
               
 Interpretation:             
               
b.Since the one and two tail t-test results provided different outcomes, which is the proper/correct apporach to comparing salary equality?  Why?  
               
               
3Based on our sample data set, can the male and female compas in the population be equal to each other? (Another 2-sample t-test.)   
               
 Ho:             
 Ha:             
 Statistical test to use:             
 Place  B75 in Outcome range box.           
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
 What is the p-value:             
 Is P-value < 0.05?             
 Reject or do not reject Ho:             
If  the null hypothesis was rejected, what is the effect size value:             
 Meaning of effect size measure:             
               
  Interpretation:              
               
4Since performance is often a factor in pay levels, is the average Performance Rating the same for both genders?     
               
 Ho:             
 Ha:             
               
 Test to use:             
               
 Place  B106 in Outcome range box.           
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
  What is the p-value:            
  Is P-value < 0.05?            
  Do we REJ or Not reject the null?            
 If  the null hypothesis was rejected, what is the effect size value:            
  Meaning of effect size measure:            
               
  Interpretation:            
               
               
               
5If the salary and compa mean tests in questions 2 and 3 provide different results about male and female salary equality,       
 which would be more appropriate to use in answering the question about salary equity?  Why?       
 What are your conclusions about equal pay at this point?         
               
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