Two different types of glass bottles are suitable for use by a soft-drink beverage bottler. The internal pressure strength of the bottle is an important quality characteristic. It is known that 1 = 2 = 3.0 psi. From a random sample of n1 = n2 = 16 bottles, the mean pressure strengths are observed to be x1 = 175.8 psi and x2 = 181.3 psi. The company will not use bottle design 2 unless its pressure strength exceeds that of bottle design 1 by at least 5 psi. Based on the sample data, should they use bottle design 2 if we use = 0.05. What is the P-value for this test?
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