Central Limit Theorem Mixed Problems 0 _- CLT for Means X = p, and s : f Z'SCOI'e Z = CLTforSums x=uon and s=o-\\/ Directions: State if the problem is CLT for Means or CLT for Sums Identify all information and sketch a graph for the prob a math test. This distribution has a mean of size n = 25, were randomly drawn from a what is the mean and the standard ability problems. 1. An unknown distribution is created by the results of 91 points and a standard deviation if 8. Samples, with population. Using the Central Limit Theorem ofSums, deviation for the distribution created by sums? 2. An unknown distribution is created from a batch of cookies at the factory with a mean of 125, a sample size of n = 563, and a standard deviation of 9 randomly drawn from the cookie population. Using the Central Limit Theorem for Means, what is the mean and the standard deviation for the sample mean distribution? . 3. An unknown population distribution has a mean of 12S and a standard deviation of 30. A sample of size n = 37 is drawn randomly from the population. What is the probability that the sample mean is in between 117 and 132? Round your answer to three decimal places. 4. The lengths, in inches, of adult corn snakes have an unknown distribution with mean 56 and standard deviation of 10 inches. A sample, with size n = 46. is randomly drawn from the population and the sum is taken. What is the probability that the sum is less than 2516 inches