3. At Kellogs Cereal Company the quality control manager claims that cartons filled by the newest machine have more cereal in them than cartons filled by the oldest machine. Samples taken from each machine, which operates independent of each other, yielded the following results:

                                    Machine 1       Machine 2
Sample size                 25       36
Sample mean               32.1 oz            30.9 oz
Sample s                      2.2 oz 1.98 oz

At the 0.05 level of significance, test the claim that the population mean for the newest machine (machine #1) is larger than the population mean for the oldest machine (machine 2).