In last week's discussion, students in this course generated a random sample of size n = 9 by rolling a standard six-sided die 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 sample means generated by the students in this course for that discussion, it was determined that 22 out of 24 or 91.7% of the sample means ranged from a low of 2.5 to a high of 4.5. We will refer to this percentage (91.7%) as our random sample result.

At the beginning of Week 5 (by Monday), use the Central Limit Theorem (Lesson 29) 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 (91.7%) generated last week. Are the population result and random sample result reasonably close?