Question: Two methods are being considered for a paint manufacturing process, in an attempt to increase production. In a random sample of 100 days, the mean

Two methods are being considered for a paint manufacturing process, in an attempt to increase production. In a random sample of 100 days, the mean daily production using the first method was 625 tons with a standard deviation of 40 tons. In a random sample of 64 days, the mean daily production using the second method was 645 tons with a standard deviation of 50 tons. Assume the samples are independent.

a. Can you conclude that 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 5 tons?

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