The effect of increasing the sample size. In the setting of given Exercise, suppose that we increase the sample size to 1764. Use the 95 part of the 68-95-99.7 rule to describe the variability of this sample mean. Compare your results with those you found in given Exercise.

Exercise
Use the 68--95--99.7 rule. You take an SRS of size 196 from a population with mean 320 and standard deviation 21. According to the central limit theorem, what is the approximate sampling distribution of the sample mean? Use the 95 part of the 68-95-99.7 rule to describe the variability of this sample mean.