Par, Inc. believes introducing a new coating for golf balls would increase
market share (Anderson et al., 2021). Par, Inc.'s research team tested 40 new
and current golf balls using a mechanical hitting machine. Following the
hypothesis test, the golf balls will have comparable driving distances to the
current golf balls.
The mean value for the current golf balls is 270.27, and the mean value for
the new golf balls is 267.5; the current golf ball has a 2.77 greater driving
distance than the new golf balls. The two values are not equal, indicating
that the new golf balls provide a lower driving distance and are not
comparable to the current golf balls, and the null hypothesis can be rejected.
The p-value for the hypothesis testing is 0.094, greater than the significance
level of 0.05. Consequently, the new ball does not have a greater driving
distance, and they are not comparable, as proposed by Par, Inc.
The descriptive statistics provided information on the mean for current and
new golf balls and the minimum, maximum, and range. The current golf ball
has a higher minimum distance of 255, and the new golf ball was at 250.
Both golf balls had the same maximum distance of 289 yards, but the range
on the new ball was significantly greater at 39 yards
Based on descriptive statistics, the current golf ball has a 95% confidence
level of 2.799, while the new golf ball has a confidence level of 3.165,
resulting in a difference in driving distance of 2.77. A larger sample size
would be helpful to obtain a more accurate representation of driving distance
for each golf ball population. Although the new golf balls may be cut-
resistant and longer-lasting, they do not necessarily offer a greater driving
range than the current golf balls. In light of this analysis, I recommend that
Par, Inc. conduct further testing, as the new ball coating may cause a slight
reduction in distance.
Reference
Anderson, D.R., Sweeney, D. J., Williams, T. A., Camm, J. D., Fry, M. J., &
Ohlmann, J. W. (2021). Essentials of modern business statistics with Microsoft
Excel. Cengage Learning.
https://ng.cengage.com/static/nb/ui/evo/index.html? deploymentId=5996522
321531871212453615008&eISBN=9780357131596&nbId=2876537&s
napshotId=2876537&id=1452094672&
