For each of the following problems, conduct the tests by both the critical region method and by calculating a p-value

4.Two methods are being considered for a paint manufacturing process, in order to increase production. In a random sample of 100 days, the mean daily production using the first method was 625 tons and the standard deviation was 40 tons. In a random sample of 64 days, the mean daily production using the second method was 640 tons and the standard deviation was 50 tons. Assume the samples are independent and use = 0.05.

(a)Conduct a hypothesis test to determine if the second method yields the greater mean daily production.

(b)Can you conclude that the mean daily production for the second method exceeds that of the first method by more than 10 tons?