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9.5. (a) (I). Compute the mean and standard deviation of the sampling distribution of the sample mean when you plan to take an SRS of size 64 from a population with a mean of 44 and standard deviation of 16. Mn. (II). In (i) above, repeat the calculations for a sample size of 576. Explain the effect of the sample size increase on the mean and standard deviation of the sampling distribution. 5911:. (iii). You take an SRS of size 64 from a population with mean 82 and standard deviation of 24. According to the Central Limit Theorem, what is the approximate sampling distribution of the sample mean? Use the 95 parts of the 68-95-99.7 rule to describe the variability of xbir. Ella. (iv). In the settings of (iii) above, suppose we increase the sample size to 2304. Use the 95 parts of the 68-95-993 rule to describe the variability of X5. Compare your results with those you found in (iii) 591m