Answer:
From left to right, the sampling distributions begin non-normal but then become more normal.
Step-by-step explanation:
If we refer back to our question, we are being told that:
Roll 1 Die 1000 times by pressing the "Roll 100 Sets" button ten times.
The same is done for Roll 3 Dice and Roll 12 Dice
i.e
Roll 3 Dice 1000 times by pressing the "Roll 100 Sets" button ten times.
Roll 12 Dice 1000 times by pressing the "Roll 100 Sets" button ten times.
From the knowledge of Central Limit Theorem (CLT), we understand that the sampling distribution of a given sample mean usually approaches a normal distribution as the sample size gets larger.
Now, if we roll 1 Die 1000 times in which every sample has 100 observations.
If 3 Dice is rolled the same way; we have 3 × 100
If 12 Dice is rolled the same way; we have 12 × 100
This typically implies that the sample size gets increasing , thus the sampling distribution begins non-normal but then becomes more normal.
