# Question

Use the following scenario to answer the next 3 questions. Plastic bags used for packaging produce are manufactured so that the breaking strength of the bag is normally distributed with a mean of 5 pounds per square inch and a standard deviation of 1.5 pounds per square inch. A sample of 25 bags is selected. So we have that the breaking strength of the bags is normal with µ = 5 lbs/in2 and σ = 1.5 lbs/in2. Also, n = 25. 1) What is the probability that the average breaking strength is between 5 and 5.5 pounds per square inch?2) What is the probability that the average breaking strength is between 4.2 and 4.5 pounds per square inch?3) What is the probability that the average breaking strength is less than 4.6 pounds per square inch?

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