BUS 308 Week 3 Assignment

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Week 3Testing multiple means with ANOVA <Note: use right click on row numbers to insert rows to perform analysis below any question>    
For questions 3 and 4 below, be sure to list the null and alternate hypothesis statements.  Use .05 for your significance level in making your decisions.     
For full credit, you need to also show the statistical outcomes - either the Excel test result or the calculations you performed.       
                   
1.      Based on the sample data, can the average(mean) salary in the population be the same for each of the grade levels? (Assume equal variance, and use the analysis toolpak function ANOVA.)  
 Set up the input table/range to use as follows:  Put all of the salary values for each grade under the appropriate grade label.      
 Be sure to incllude the null and alternate hypothesis along with the statistical test and result.         
 ABCDEFNote: Assume equal variances for all grades.       
                   
                   
2.      The table and analysis below demonstrate a 2-way ANOVA with replication.  Please interpret the results.        
 Grade                 
 GenderABCDEF           
 M242740475676 The salary values were randomly picked for each cell.    
  252847496677           
 F223441506575           
  243642576977           
                   
 Ho: Average salaries are equal for all grades             
 Ha: Average salaries are not equal for all grades             
 Ho: Average salaries by gender are equal              
 Ha: Average salaries by gender are not equal             
 Ho: Interaction is not significant               
 Ha: Interaction is significant               
 Perform analysis:                
 Anova: Two-Factor With Replication              
                   
 SUMMARYABCDEFTotal          
 M                 
 Count22222212          
 Sum49558796122153562          
 Average24.527.543.5486176.546.8333          
 Variance0.50.524.52500.5364.515          
                   
 F                 
 Count22222212          
 Sum467083107134152592          
 Average233541.553.5677649.3333          
 Variance220.524.582367.333          
                   
 Total                 
 Count444444           
 Sum95125170203256305           
 Average23.7531.2542.550.756476.25           
 Variance1.5833319.58339.6666718.916731.33330.91667           
                   
                   
 ANOVA                 
 Source of VariationSSdfMSFP-valueF crit           
 Sample37.5137.53.846150.073484.74723           
 Columns7841.8351568.37160.8581.5E-103.10588 Note: a number with an E after it (E9 or E-6, for example)    
 Interaction91.5518.31.876920.172313.10588 means we move the decimal point that number of places.    
 Within117129.75    For example, 1.2E4 becomes 12000; while 4.56E-5 becomes 0.0000456  
                   
 Total8087.8323               
                   
 Do we reject or not reject each of the null hypotheses?  What do your conclusions mean about the population values being tested?     
Interpretation:                  
                   
                   
                   
                   
3.   Using our sample results, can we say that the compa values in the population are equal by grade and/or gender, and are independent of each factor?    
 GradeBe sure to include the null and alternate hypothesis along with the statistical test and result.        
 GenderABCDEF <Randomly pick compas to fill each cell - for exampe, a compa   
 M       for the intersection of M and A might be 1.043.>     
         <If desired, you can use the compa values that relate to the     
 F       salary values used in question 2 for a more direct comparison of the two    
         outcomes.>        
                   
 Conduct and show the results of a 2-way ANOVA with replication using the completed table above.  The results should look something like those in question 2.   
 Interpret the results. Are the average compas for each gender (listed as sample) equal?  For each grade?  Do grade and gender interaction impact compa values?   
                   
                   
4.   Pick any other variable you are interested in and do a simple 2-way ANOVA without replication.  Why did you pick this variable and what do the results show?   
 Variable name: Be sure to include the null and alternate hypothesis along with the statistical test and result.       
 GenderABCDEF           
 M       Hint: use mean values in the boxes.      
 F                 
                   
5.   Using the results for this week, What are your conclusions about gender equal pay for equal work at this point?       
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
                   
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