Hypothesis: The new golf balls will offer more driving distances compared to the current golf balls
Rationale
Being that the new balls are new inventions that try to improve on the current golf balls, they must have features that are more competent and make them better compared to the current golf balls. The research team has been able to incorporate the new golf team with coating that has been designed to resist the cuts and provide more durability to the ball. These new features can aid driving distance for the golf ball and thus enable the new golf balls to travel for a longer distance compared to the current ball. Comparison for the current and the new golf ball can be based on the fact that the new ball has a cut resistant feature that will make it to cut through the atmospheric obstacles and move for a longer distance compared to how the current ball could move against the atmospheric waves
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Null hypothesis: The new golf ball will not offer more driving distances compared to the current golf balls
Rationale
Being that there is a new coating on the current golf ball, more weight will be added to the ball and this will increase the weight of the travelling ball. This will create an instance where the driving distance of the new ball will be less compared to the driving distance of the current ball.
To help establish the claim of the driving distance, 40 balls of both the new and the current models will be subjected to distance tests to help show whether the new model will help the company increase its market share through the new discovery.
Based on the data provided for the two models of the golf ball, it is evident that there is a need to put to use the current compared to the new model that have cut resistant and longer lasting duration for the golf ball. The results are able to show that the current model has a longer driving distance compared to the newt model. This can be seen through a p-test that was done to give results for the p-value for the test.
P-value= = tdist (x,deg_freedom,tails)
Treatment 1
264
261
267
272
258
283
258
266
259
Figures in excel
Treatment 2
277
269
263
266
262
251
262
251
262
289
286
Figures in excel
Significance level: 0.5
It is two tailored hypothesis
Different Scores for the data
Treatment 1 N 1 : 9 df 1 = N - 1 = 9 - 1 = 8 M 1 : 265.33 SS 1 : 528 s 2 1 = SS 1 /( N - 1) = 528/(9-1) = 66
Treatment 2
N 2 : 11 df 2 = N - 1 = 11 - 1 = 10 M 2 : 267.09 SS 2 : 1552.91 s 2 2 = SS 2 /( N - 1) = 1552.91/(11-1) = 155.29
The p-value is 0.720329
Descriptive Statistics
Model 1- Current
Mean = 10811/40
= 270.275
Model 2- New
= 10700/40
= 267.5
The mean for the current model is higher compared to new model meaning that the current model is better compared to the new model being introduced
95% confidence level for model 1 (Current) = 269 to 272
95% confidence level for model 2 (New) = 266 to 269
Difference in the confidence level = 3
The above tests have shown that the current model is still better compared to the new model in terms of the driving distance and thus cannot be used.
