A variable of two populations has a mean of 20 and a standard deviation of 24 for one of the populations and a mean of 20 and a standard deviation of 16 for the other population. Moreover, the variable is normally distributed on each of the two populations. Complete parts (a) through (c).A. For independent samples of size 9 and 36, respectively, find the mean of (x bar)₁ - (x bar)₂.

B. For independent samples of size 9 and 36, respectively, find the standard deviation of (x bar)₁ - (x bar)₂.

C. Determine the percentage of all pairs of independent samples of sizes 9 and 36, respectively, from the 2 populations with the property that the difference (x bar)₁ - (x bar)₂ between the sample means is between -10 and 10.