The Par, Inc. Case can provide discussion and differing opinions as to what hypothesis test should be conducted. In some interpretations of the problem, a two-tailed test can be appropriate for Par, Inc. In other interpretations of the same problem, a one-tailed test may be preferred. We suggest accepting different formulations of the Par, Inc. hypothesis test provided convincing rationale is provided.

Letting

m₁ = population mean driving distance for the current golf ball

m₂ = population mean driving distance for the new golf ball

we suggest the following hypothesis test:

H₀: m₁ - m₂ lower or equal to 0

H_a: m₁ - m₂ > 0

Discuss why logical arguments exist for structuring the hypotheses differently.

Current	New
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261	269
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283	251
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