Question list Question 1 Question 2 Question 3 K A variable of two populations has a mean of 60 and a standard deviation of 8 for one of the populations and a mean of 60 and a standard deviation of 12 for the other population. Moreover, the variable is normally distributed on each of the two populations. Complete parts (a) through (c). The standard deviation of X-X2 is 5. (Round to four decimal places as needed.) b. Can you conclude that the variable x1 - X2 is normally distributed? Explain your answer. Choose the correct answer below. A. Yes, - X2 is always normally distributed because of the central limit theorem. B. No, since x1 x2 must be greater than or equal to 0, the distribution is right skewed, so cannot be normally distributed. C. Yes, since the variable is normally distributed on each of the two populations, X-X2 is normally distributed. OD. No, X-X2 is normally distributed only if the sample sizes are large enough. c. Determine the percentage of all pairs of independent samples of sizes 4 and 16, respectively, from the two populations with the property that the difference x -X2 between the sample means is between - - 10 and 10. % Help me solve this View an example Get more help - i Vi (1,0) More Clear all Check answer Inc