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...

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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 size of shoes—regardless of height or gender of the wearer. In no more than 5–10 pages (including figures), explain your recommendations, using statistical evidence to support your findings. The data found are given in the following table. (attached in an excel file)






Only use results in the paper. You may show your work in an appendix, if you would like.





Answered Same DayMar 18, 2021

Answer To: Statistics is about more than calculations. It is about turning data into information and using this...

Pooja answered on Mar 21 2021
140 Votes
Introduction
The objective of this report is to test if height and gender have a significant relationship with shoe size. The technique of regression analysis is used. The dependent variable is the shoe size. Th
e independent variables are height and gender.
Data
the data consists of three variables namely height, Gender, and shoe size.  The variables which are measured by the ratio scale of measurement are height and shoe size. The height and shoe size are measured in terms of inches. The gender is measured by the nominal scale of measurement and is categorized as male and female.
Analysis
Descriptive statistics
The survey has approximately an equal number of males and females. There are 51% females against 49% males. 
    Row Labels
    Count of Gender
    Female
    18
    Male
    17
    Grand Total
    35
The distribution of height is approximately normally distributed as evident from the bell-shaped histogram. The best measure of central tendency for a normal distribution is mean.
    Height
    
    
    Mean
    68.94285714
    Standard Error
    0.681006247
    Median
    70
    Mode
    70
    Standard Deviation
    4.028887287
    Sample Variance
    16.23193277
    Kurtosis
    -0.335514162
    Skewness
    -0.233437184
    Range
    17
    Minimum
    60
    Maximum
    77
    Sum
    2413
    Count
    35
The average height of individuals in the data is 68.9 inches with a low standard deviation of 4 units. There are 50% of the individuals with height less than 70 inches.
The distribution of shoe size is approximately normally distributed as evident from the bell-shaped histogram. The best measure of central tendency for a normal distribution is mean.
    Shoe Size
    
    
    Mean
    9.142857143
    Standard Error
    0.436550376
    Median
    9
    Mode
    7
    Standard Deviation
    2.582666852
    Sample Variance
    6.670168067
    Kurtosis
    -1.083085859
    Skewness
    0.36660346
    Range
    9
    Minimum
    5
    Maximum
    14
    Sum
    320
    Count
    35
The average sow size of individuals in the data is 9.14 inches with a low standard deviation of 2.6 units. There are 50% of the individuals with shoe size less than 9 inches. Holcomb, Z. C. (2016). 
Inferential...
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