Final Project - James Holman Final Project Introduction A...

James Holman
Final Project
Introduction
A company called Nyke makes shoes of various sizes for females and males. Lately, the
company has undergone financial hardships. Unless the CEO makes a change in its business,
Nyke will have to file for Chapter 7 or 11 bankruptcy depending on the situation. That change to
be effected is to make shoes of only one size irrespective of height and gender. There is a
possibility that this move will save the company from going under the water. Descriptive
statistics and statistical testings will be applied to a set of data to determine the best choice of one
specific size. The data will be explored and explained in details. There will be conclusions to be
made, but they will be either accepted or rejected based on the other supporting statistics. Finally,
one size will be chosen. However, if more data can be included, they have more impact on the
final conclusion.
Methodology
A normally distributed data set of eighteen female shoe sizes and seventeen male shoe
sizes was analyzed through Quattro Pro X4 Version 14.0.0.677, a Corel program. The data
including both genders was looked at in one set and then broken down in two separate categories:
females and males. Descriptive statistics were applied to each of the three data sets. Then, the
two data sets, females and males separately, were tested by a two-sampled t-test, assuming that
they both have equal variances. Afterwards, it was tested again by a two-sampled t-Test,
assuming they both have unequal variances. After the data had been crunched and their
null/research hypotheses have been tested, the conclusions will be made.
Results
Figure A of page 5 shows the raw data set that is normally distributed and which includes
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shoe sizes, heights, and genders. On page 7, Figure D is the descriptive statistics for the raw data
set. There are 35 data samples: 18 females and 17 males. With a range of 9, the minimum shoe