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20.The weight of US females who are 20 or older has a mean of 170.3 pounds and a standard deviation of 41.63 pounds. Round probabilities

20.The weight of US females who are 20 or older has a mean of 170.3 pounds and a standard deviation of 41.63 pounds. Round probabilities to four decimal places and means to two decimal places.

a. Show that the Central Limit Theorem of Means applies to the sampling distribution of means of samples of 48 US females who are 20 or older. Provide proof.

b. Describe the sampling distribution of means of samples of 48 US females who are 20 or older.

c. Find the probability that the mean weight in a sample of 48 US females who are 20 or older is above 160 pounds

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