Central Limit Theorem (CLT) is: The theoretical basis for this approach happens when its conditions are met. This theorem provides powerful ways of answering a variety of statistical questions. Suppose there are 30 students in a class and each draws an independent sample of n=100 observations from the same normally distributed population with a known and variance ^2. Suppose we know the mean of the population is, = 0.5 and ^2 = 0.0833. The results of these observations are summarized in the following table. Required: Please discuss the ways you would confirm that this scenario follows the Central Limit Theorem (CLT). Please support your decisions through calculating the sample statistics and compare them with population parameters. You may also utilize Excels statistical functions to build your formulations for this decision model. Hints: We want to check if: The average of all means [Mean of Means] agrees with population Mean. The sample variance S^2 is consistent with ^2/n. The distribution of sample means is Approximately Normal, i.e., the means appear to follow the normal distribution