Recall that the trash bag manufacturer has concluded that its new 30-gallon bag will be the strongest
Question:
Suppose that (unknown to the manufacturer) the breaking strengths of the new 30-gallon bag are normally distributed with a mean of p = 50.6 pounds and a standard deviation of σ = 1.62 pounds.
a. Find an interval containing 95.44 percent of all possible sample means if the sample size employed is n = 5.
b. Find an interval containing 95.44 percent of all possible sample means if the sample size employed is n = 40.
c. If the trash bag manufacturer hopes to obtain a sample mean that is at least 50 pounds (so that it can provide evidence that the population mean breaking strength of the new bags is at least 50). which sample size (n = 5 or n = 40) would be best? Explain why.
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Related Book For
Business Statistics In Practice
ISBN: 9780073401836
6th Edition
Authors: Bruce Bowerman, Richard O'Connell
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