The law firm of Adams, Babcock, and Connors is located in the Dallas–Fort Worth metroplex. Randall Adams is the senior and founding partner in the firm. John Babcock has been a partner in the firm for the past eight years, and Blake Connors became a partner just last year. The firm employs two paralegal assistants and three secretaries. In addition, Bill Davis, the newly hired office manager, is in charge of day-to-day operations and manages the financial affairs of the law firm.
1. Based on the sample data, is it possible that the population mean delivery times for all three couriers might be the same? Using a level of significance of your choice, perform an appropriate ANOVA statistical analysis and attach any supporting computer output. What is the p-value for the test? What recommendation would you make to the company based on this analysis?
2. Based on the sample data, is it possible that the population mean delivery distances for all three couriers might be the same? Using a level of significance of your choice, perform an appropriate ANOVA statistical analysis and attach any supporting computer output. What is the p-value for the test? Has the result of this test altered in any way the recommendation you made in response to question 1?
3. Create a new variable called “Average Speed” by dividing “Mileage” by “Delivery Time.” For each trip, this will be the average speed during the trip. Based on the sample data, is it possible that the population mean average speeds for all three couriers might be the same? Using a level of significance of your choice, perform an appropriate ANOVA statistical analysis and attach any supporting computer output. What is the p-value for the test? On the basis of this analysis, what recommendation would you make to the firm?
4. Overall, considering the analyses performed above, do you feel that the evidence is sufficiently conclusive that the firm should switch from their present courier? Present a brief written recommendation to the firm.