16817

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 simulated?

A A sampling distribution of a sample mean with n = 10, μx̄ = 3.5, and σx̄ ≈ 0.54

B A sampling distribution of a sample mean with n = 10, μx̄ = 3.5, and σx̄ ≈ 1.74

C A sampling distribution of a sample mean with n = 20, μx̄ = 3.5, and σx̄ ≈ 0.38

D A sampling distribution of a sample proportion with n = 10, μp̂ = 1/6, and σp̂ ≈ 0.118

E A sampling distribution of a sample proportion with n = 20, μp̂ = 1/6, and σp̂ ≈ 0.083

Answer: The correct answer is A sampling distribution of a sample mean with n = 10, μx̄ = 3.5, and σx̄ ≈ 0.54

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