1. Roll 1 Die 1000 times by pressing the \"Roll 100 Sets\" button ten times. The

Question

1. Roll 1 Die 1000 times by pressing the "Roll 100 Sets" button ten times. Then do the same for Roll 3 Dice and Roll 12 Dice. Which best describes the sampling distributions?

All three sampling distributions appear to follow the normal distribution.

From left to right, the sampling distributions begin normal but then become non-normal.

From left to right, the sampling distributions begin non-normal but then become more normal.

All three sampling distributions appear to follow non-normal distributions.

Explanation / Answer

All three sampling distributions appear to follow the normal distribution.

Central limit theorem -> It states that the sampling distribution of the sampling means approaches a normal distribution as the sample size gets larger

When you'll roll 1 die 1000 times where every sample has 100 observations. Here the sample size is big enough and will form a normal distribution curve.

When 3 dice and 12 dice are rolled in the same way the sample size increases to 3*100 and 12*100 respectively, thus leading to more and more normal curve

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