Question: It was found that students from School B have a mean GPA of 2.8. Consider a random sample of 81 students from School A (sample

It was found that students from School B have a mean GPA of 2.8. Consider a random sample of 81 students from School A (sample 1) and a random sample of 25 students from School B (sample 2). Denote the mean GPA of the two samples by X1 and X2.

Q1) Find the mean of the sampling distribution of X1-X2

Q2) Suppose that the standard deviation of the sampling distribution of the mean GPA for samples of size 25 from School A is 0.09, and that the standard deviation of the sampling distribution of the mean GPA for samples of size 81 from School B is 0.1. Find the standard deviation of the sampling distribution of X1 - X2

Q3) Under the assumption of Q1 and Q2, find the probability that X1-X2 < 0.15

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