Let us assume that the weights of bags of dog food are normally distributed with a...

Question

Question

Let us assume that the weights of bags of dog food are normally distributed with a mean of 50 lb and a standard deviation of 2.5 lb.
		(a)	Describe the shape and horizontal scaling on the graph of the distribution for the population of all weights of bags of fertilizer.







(b)	Find the probability that the weight from a single randomly selected bag will be less than 46 lbs. Based upon your results, would it be unusual to find an individual bag weighing less than 46 lb? Explain.







(c)	If all possible samples of size 30 from the population of these bag weights are drawn and the mean is found for each sample, describe the shape and horizontal scaling on the graph of the sampling distribution for these sample mean values as theorized by the Central Limit Theorem.








(d)	Find the probability that the mean weight from 30 randomly selected bags will be more than 51 lbs. Based upon your results, would it be unusual to find a sample of 30 randomly selected bags where the average weight is more than 51 lbs? Explain.

Answer 1

Answer #1

Answer 2

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