#### Question:

A simulation was conducted using 10 fair six-sided dice, where the faces were numbered 1 through 6. respectively. All 10 dice were rolled, and the average of the 10 numbers appearing faceup was recorded. The process was repeated 20 times. Which of the following best describes the distribution being simulate?

(A) A sampling distribution of a sample mean with n = 10, mu_x = 3.5, and sigma_x = 0.54

(B) A sampling distribution of a sample mean with n = 10, mu_x = 3.5, and sigma-x = 1.71

(C) A sampling distribution of a sample mean with n = 20, mu_x = 3 5, and sigma_x = 0.38

(D) A sampling distribution of a sample proportion with n = 10, mu_p = 1/6, and sigma_p = 0.118

(E) A sampling distribution of a sample proportion with n = 20, mu_p = 1/6, and sigma_p = 0.083