Nyke Shoe Company Essay

596 Words Aug 29th, 2015 3 Pages
Question:

Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size, and height and have asked you to tell them if they can change their business model to include only one size of shoes – regardless of height or gender of the wearer. In no more 5-10 pages (including figures), explain your recommendations, using statistical evidence to support your findings. The data found are below:

Shoe Size| Height| Gender|
5.00| 63.00| Female|
7.50| 70.00| Female|
9.00| 70.00| Female|
7.00| 64.00| Male|
11.00| 72.00| Male|
12.00| 72.00| Male|
14.00| 76.00| Male|
7.00| 66.00| Female|
7.50| 71.00| Female|
8.00| 68.00|
…show more content…
It seems that there is a significant difference between the average shoe sizes for females and for males.

To find out a more correct answer, let’s conduct an independent sample t-test in the following.

Denote by the average shoe sizes for males and females, respectively.

Here are the two hypotheses:
Null hypothesis H0:
Alternative hypothesis Ha:

We conduct an independent sample t-test using Excel, and obtain the following output (see sheet T-TEST)

t-Test: Two-Sample Assuming Unequal Variances|
| | | | shoe size(female)| shoe size (male)|
Mean| 7.111111111| 11.29411765|
Variance| 1.281045752| 3.251838235|
Observations| 18| 17|
Hypothesized Mean Difference| 0| | df| 27| | t Stat| -8.165111165| |
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