I am having trouble applying the central Limit Theorem.

Section 6.4: The Central Limit Theorem 11: What is the Central Limit Theorem? What are the requirements (two cases) for Central Limit Theorem? . Case 1: . Case 2: 12: A research collects a simple random sample of GPAs of statistics students, and she calculates the mean of this sample. Under what conditions can that sample mean be treated as a value from a population having a normal distribution. 13: Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size n = 15, are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain. 14: Assume that females have pulse rates that are normally distributed with a mean of 74 beats per minute and a standard deviation of 12.5 beats per minute. (Make sure you can tell the difference between the two questions below). a: If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. b: If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. 15: Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz. a: Find the probability that a single can of Coke has at least 12.19 oz. b: Find the probability that 36 random cans of Coke have a mean of at least 12.19 oz