Par, Inc.

Here is the report about Par, Inc. , is a major manufacturer of play equipment attempt whether the late clump devolve on longer outperform than the live model. To compare the driving infinites for the two worlds, 40 childly tests both of new and trustworthy models were subjected to distance tests. According to the data, we got the information we command for a speculation test as follow Current New Means 269. 42 266. 67 Count 40 40 Standard Deviation 8. 09 9. 79 Confidence Level(95. 0%) 2. 59 3. 13 The 40 simple of both current and new model golf balls show that the average distance of the new ball target is less than the current model, but the prototype diversionary attack of new ball is 9. 79 which is larger than the current 1 and It imply the new ball is not stable as the current one, it has more line up drive longer or shorter than the current model. precisely at present, we cant get the conclusion which ball drive longer distance, So we need a hypothesis te st the diversity of this two ball models.The hypothesis test suggested follows H0 1- 2? 0 Ha 1- 2>0 We use this formula for a hypothesis test to compare the driving distance of the current and new golf balls. afterwards analyses, we get the conclusion that we cant reject the unimportant hypothesis. Because this is a hypothesis test about two different populations, standard deviation of population is unknown and we use t-test and the p-value we got equals 0. 09 which is much bigger than the confidence train of 0. 05. So it is Type? error and we do not reject the null hypothesis.And we recommend the company to use the new model, that on that point is more chance to drive longer distance. The confidence interval we got for each model and or the difference amid the means of the two populations are given infra Current 266. 83272. 00 New263. 54269. 80 The difference surrounded by two populations -1. 266. 74 As the interval show above, at the level of 95% confidence, the distance current ball can drive is between 266. 83 and 272. 00 and the new one can drive between 263. 54 and 269. 80.And the new ball can drive longer distance till 6. 74 than the current one, but it is possible that the new ball drive shorter distance than the current till 1. 26. I think simple sizes for this test is not enough. Because the population of ball is very big and there are only 40 simples testing. We make assumption that the population of the ball is 1000 the simple size now is 5 and the proportion is 40/1000 and NP equals 1. 6, N (1-P) equals 38. 4. The NP is smaller than 5 so. We need more simple sizes to make the test much exactly.