Samples of size 25 from Population 1 with mean 6.2 and standard deviation 3.7 and samples of size 40 from Population 2 with mean 8.1 and standard deviation 7.6

Random samples of the given sizes are drawn from populations with the given means and standard deviations. For each scenario:
(a) Find the mean and standard error of the distribution of differences in sample means, x̅₁ − x̅₂.
(b) If the sample sizes are large enough for the Central Limit Theorem to apply, draw a curve showing the shape of the sampling distribution. Include at least three values on the horizontal axis.