please answer this

3. (20 pts) In a packing plant, a machine packs cartons with jars. It is supposed that a new machine will pack faster on the average than the machine currently used. To test that hypothesis, the times it takes each machine to pack ten cartons are recorded. The results, in seconds, are shown in the table below. New machine 42.1 41 41.3 41.8 42.4 42.8 43.2 42.3 41.8 42.7 Old machine 42.7 43.6 43.8 43.3 42.5 43.5 43.1 41.7 44 44.1 a. Apply the paired t-test to decide, at the 5% significance level, whether the new machine will pack faster on the average than the machine currently used. b. Apply the pooled t-test to the sample data to perform the hypothesis test. c. Compare the results from part (a) and (b) and make appropriate conclusions