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4. The volume of soft drink in plastic bottles is a normal random variable with mean 16 ounces and standard deviation 1.4 ounces. A random sample of 25 bottles is selected from a large quantity of filled bottles. a) (1pt) According to the Central Limit theorem, what is the shape of the distribution of the sample means? b) (1pt) According to the Central Limit theorem, what is the mean of the distribution of the sample means? c) (2pt) According to the Central Limit theorem, what is the standard deviation of the distribution of the sample means? d) (3pt) Find the probability that the mean volume of soft drink in the 25 sampled bottles is less than 15.4 ounces. (Give your answer to four decimal places) e) (3pt) Find the probability that the mean volume of soft drink in the 25 sampled bottles is more than 15.5 ounces. (Give your answer to four decimal places)