Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time it takes to produce the product using the new machine is significantly less than the production time using the old machine. To test the claim, independent random samples were taken from both machines. You are given the following results: Old Machine ;New Machine Sample Mean: 25 ; 23
Sample Variance: 27 ; 7.56 Sample Size: 45 ; 36

As the statistical advisor to Ajax, would you recommend purchasing Allied's machine? Explain your answer.