Par, Inc has developed a new coating designed to resist cuts and provide a more durable ball. One concern for Par, Inc was the effect of the new coating on driving distances. Par would like the new cut-resistant ball to offer driving distances comparable to those of the current-model golf ball. To compare the driving distances for the two balls, 40 balls of both new and current models were subjected to distance test. The testing was performed with a mechanical hitting machine so that any difference between the mean distances for the two models could be attributed to a difference in the two models.
Based on the sample studied of 80 golf balls both current and new models, I have done the following analysis: 1. Formulated a hypothesis test for Par’s comparison of the driving distances of the current and new golf balls. 2. Analyzed data to provide a hypothesis testing conclusion and recommendation. 3. Provided descriptive statistical summaries of the data for each model 4. Calculated 95% confidence interval for the population mean of each model, and the difference between the means of the two populations. 5. Discuss if a larger sample size was needed with the golf balls
First off, I’ve conducted an hypothesis test for Par, Inc comparison and the null/alternative hypothesis are as follow:
H0: µ1 - µ2 = 0 (they are the same)
Ha: µ1 - µ2 ≠ 0 (they are not the same)
The test I will be conducting is a two-tail test.
The P-Value for this test is .01836 and because it is greater than alpha of .05, thus we do not reject the null hypothesis. My recommendation to Par, Inc is to put the new coating for the golf balls to production.
Descriptive Statistic for both models are as follows:
Current| | New|
| | | | |
Mean| 270.275| | Mean| 267.5|
Standard Error| 1.383968421| | Standard Error| 1.564837994| Median| 270| | Median| 265|