0 Question 5 For the population whose distribution is shown above, find the following: a. ,u: Now, let's explore the Central Limit Theorem {CLT} a bit. Suppose random samples of size n = 23 are repeatedly taken from the population above. Find the following values, as predicted by the CLT. Round to two decimals if needed. c. The mean of the sampling distribution of sample means: \"i = p. = G d. The standard deviation of the sampling distribution of sample means: of = = Now we will simulate taking 10 different random samples of size n = 23 from the population above, and compare our results to the values predicted by the CLT in parts c and d above. Sample# 1 2 3 4 5 6 7 8 9 10 EU: 2 23) 33.56 33.09 34.17 31.69 34.38 33.16 32.27 37.28 33.01 30.96 s 6.9 7.06 9.01 7.1 7.65 7.2 7.63 8.08 5.59 7.95 Note that the values for i? and 3 in the table should all be similar to the population values of ,u and G from parts a and b. Now we will use the 52 values from the 10 random samples to compute the "grand mean" and "grand standard deviation", and we should find that those values are similar to the CLT predicted values from parts c and d. Put the sample means from the table into a calculator and find the mean and standard deviation of those sample means. Round to two decimals. 6.2135: ESE: As you can see, our actual results in parts e and 1' were not exactly the same as the predicted values from parts c and d. This is because our results are based on only 10 random samples. What were the errors between our actual results and the CLT predicted values? Enter positive values. 3. Error in the "grand mean" was : h. Error in the "grand standard deviation" was : Note: The more we increased the number of replications from 10, the smaller we would expect the errors to be