Statistics is about more than calculations It is about turni

Statistics is about more than calculations. It is about turning data into information and using this information to understand the population. A statistician will be asked to help solve real world problems by designing a study, collecting data, analyzing the data, and writing up the results. As a final project, you will be asked to do something similar. Though the design and data collection will be done for you, you will be asked to analyze the data using the appropriate tests (ensuring the data are distributed normally) and write up the results, using statistical evidence to support your findings. Lastly, you will be asked to include recommendations, that is, apply the results to solve the real world problem. In your paper, explain why you chose each statistical test, figure, or procedure. The problem: 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 of shoes

Solution

Answer to the question)

A shoe company renders to all types of people, both genders, and all heights included

Since the company decides to manufacture only one size of the shoe

it has to do the research to find out which Size is the most sold out , what is the customer base for it

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Now when it comes to conducting the research , the population includes all the people in the region where the shoe company exists. The population is heterogenous with respect to height and gender.

Thus the company can prefer sampling from the entire population. It may go for cluster sampling , in which homogeonous clusters based on adult females and males, and select equal number of sampling units from both the clusters

The hypothesis test that can be done is related to one sample mean test

This will help us know the true sample Mean Shoe size

Since shoe size is a variable that is considered to follow normal distribution , it would be meaningful to check the mode fo the collected data and see if that matches the mean sample size

We can also use the past data to confirm the maximum number of times a size is sold.

These all methods help us confirm the size that must be manufactured by the company