Sampling distributions for means from simple random samples of 5, 30, and 100 pennies are shown in the histograms of question 1 (Ages of Pennies, see the PDF document). The mean age of the pennies from Question 1 is 10.44 years with a standard deviation of 9.2 years. Using the Central Limit Theorem, calculate the means and standard deviations of the distribution of the mean from random samples of size 5, 30, and 100.

(Three of them are correct)

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O When the sample size is small, the sampling distribution is left-skewed just like the population distribution. When the sample size is small, the sampling distribution is right-skewed, just like the population distribution When the sample size is n=30 the standard error is 1.68 When the sample size is n=5, the standard error is \"1.68 The expected value ofthe sample mean equals the population mean regardless of the sample size When the sample size is n=5, the standard error is 9.2 As the sample size increases, the standard error converges to the population standard deviation As the sample size increases, the sampling distribution gets more unimodal, but the distribution remains right-skewed As the sample size increases the variability of the sampling distribution increases