A large company has offices in two locations, one in New Jersey and one in Utah. The Utah office assistants believe the New Jersey office is paying more. They collect a random sample of 128 of the 1300 office assistants in New Jersey and find a mean salary of $24,500 with a standard deviation of $2,800. They collect a separate random sample of 32 of the 400 office assistants from the Utah office and find a mean salary of $22,500 with a standard deviation of $4,200. Using a significance level of 0.05 do they have evidence that the New Jersey office is paying more?