Use the Golf Ball Distance Test file, linked in the Resources under the Required Resources heading, to complete the calculations for the scenario for this assessment.
Practical Application Scenario
Your love of golf has brought you back to the range as the new product manager for UniDun's "Straight Flight" (SF) line of golf balls. The company's research and development group has been experimenting with dimple patterns that promote straight flight and have achieved some degree of success. You, however, are worried about the effect that the new pattern might have on driving distance.
The Golf Ball Distance Test file contains test results that compare the driving distances for the two different kinds of balls: 40 balls of the new SF type, and 40 of the old UniDun type. Your job is to determine if the old UniDun balls can be driven further than the new SF balls. To resolve this question, you need to appropriately address the following:
- Identify the null and alternative hypotheses you should form for this test. State each both as a written explanation and as a math equation.
- Identify the appropriate statistical test to accept or reject the null hypothesis.
- Calculate the p-value.
- Summarize your findings and recommendations about the new golf ball product to the vice president of marketing. Your report should not be a statistical analysis of the testing but a summary of the testing results. Assume that your audience is unfamiliar with statistical analysis.