# Question

Two different types of glass bottles are suitable for use by a soft-drink beverage bottler. The internal pressure strength (psi) of the bottle is an important quality characteristic. It is known that 3.0 psi. From a random sample of bottles, the mean pressure strengths are observed to be psi and 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 they want no larger than 5% chance of excluding bottle 2 if it meets this target?

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