We have a random variable X1defined on Population 1.X1has a mean value of 52 with a population standard deviation of 3.The random variable X2is defined on Population 2 and X2has a mean value of 50 with a population standard deviation of 4.We obtain a random sample of 625 elements from Population 1, and independently we obtain a random sample of 625 elements from Population 2.Find the probability that the difference in the sample averagesis at least 2.5.

Group of answer choices

0.0062

0.0668

0.9938

0.0000

0.0228