Students in this course generated a random sample of size n = 9 by rolling a standard six-sided dice 9 separate times. They posted their random sample data values along with the corresponding calculated sample mean (rounded to the nearest tenth). After tabulating all of the samples means generated it was determined that 42 out of 46 or 91% of the sample means ranged from a low of 2.5 to a high of 4.5. We will refer to this percentage (91%) as our random sample result.

Use the Central Limit Theorem to calculate the probability that the sample mean for the results of rolling a standard six-sided die n = 9 times ranges from a low of 2.5 to a high of 4.5. We will refer to this probability as our population result. Post your calculated probability population result (rounded to the nearest whole percent) and compare it to the random sample result (91%) generated last week. Are the population result and random sample result reasonably close?