a) why is the sampling distribution approximately normal? b) what is the mean of the sampling diatribution? c) what is the standard deviation of the sampling distribution? d) Assuming that the population mean is 750000, what is the probability that a simple random sample of 60 1 cc specimens has a mean of at least 764713 pus cells? e) discribe the population and parameter for this situation. f)describe the sample distribution and statistic for this situation. g) explain what the FDA should do with this information.

Applying the Central Limit Theorem: The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk indude feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 85000 cells. The FDA then tasks you with checking to see if this is accurate. You collect a random sample of 60 specimens (1 cc each) which results in a sample mean of 764713 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample. Why