Central Limit Theorem 1. There is a normal distribution of scores with a mean of 85 and a standard deviation of 12. Imagine that you took every possible sample of 50 scores, determined the mean of...

Central Limit Theorem

Extracted text: Central Limit Theorem 1. There is a normal distribution of scores with a mean of 85 and a standard deviation of 12. Imagine that you took every possible sample of 50 scores, determined the mean of each of those samples, and then plotted the means, You now have a distribution of sample means. a. What is the mean of this new distribution (distribution of sample means)? b. What is the standard deviation of this new distribution? c. What term is used for the standard deviation of a distribution of sample means (which you just calculated)? d. Which of the following would describe the shape of this new distribution? (Check one) O Positively skewed distribution O Negatively skewed distribution O Normal distribution O Cannot determine e. Imagine that the original distribution was not "normal," but was negatively skewed. If you took every possible sample of 50 scores, determined the mean of each of those samples, and then plotted the means, what would be the shape of the distribution of sample means? (Check one) Positively skewed distribution Negatively skewed distribution I Normal distribution O Cannot determine O O O O