Greenlawn, Inc. receives its fertilizers in bags that are labeled 50-pound bags, and the manufacturer reports that the standard deviation in the fill amount is 1.1 pounds. As quality control manager, you want to make sure that you are getting what is being promised, so you take a sample of 30 bags. What is the probability that the average for these bags is more than 50.3 pounds? _______
Suppose you want to give the guys down on the shipping dock a number, such that if the average for the 30 bags is below this amount, they should reject the shipment, if the average is above this amount, they can accept the shipment. What value would you choose and why?
In a recent survey of households in Vermont, the head of the household was asked to estimate the amount of money the household spends weekly on groceries. The average expenditure was $134.27 with a standard deviation of $56.34. What is the probability that a randomly chosen households spends less than $100 or more than $200 on groceries? _________
15% of all households spend at least what amount on groceries? ________