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# This is my GCSE data-handling project, throughout which I will be discussing the topic of how sleep deprivation affects the reaction and ability to estimate a minute.

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Introduction

Statistics coursework

## Introduction:

This is my GCSE data-handling project, throughout which I will be discussing the topic of how sleep deprivation affects the reaction and ability to estimate a minute.

Plan:

## Hypothesis

My hypothesis is:

• People who get more sleep will have faster reaction times than people who get less sleep
• People who get more sleep will be better at estimating a minute than people with less sleep.
• Females will do better than males. Hopefully the competitive attitude of many people to tests involving males versus females will make sure that the subjects are trying to get the best scores they possibly can, and this should reduce the number of anomalous results I receive. To test my hypothesis, I will need to collect data from a random sample of people.

The data I need to collect is:

• Age
• Gender
• Reaction Time
• Ability to calculate a minute
• How many hours of sleep they get a typical night

## Data Collection

I will collect the Age, and Gender and amount of sleep they get

Middle

When choosing my subjects for the test, I must ensure that my choices are not biased, and that I get a good range of results in terms of age. Considering I will be doing most of my work inside my school,  I decided to take results,from years 7 – 11.

Another precaution I will be taking to ensure that my results are not biased is that I will choose my subjects using the randomise function on my calculator to generate a random number between 1 and the number of people in the class by entering rnd(Y-1), where Y is the number of people in the class. This generates a random number in the range of 1-Y, but it generates real numbers, so if the number is not an integer, I will round it to the nearest integer. I will use this randomly generated number, and find the person who is in that position on the register (which is ordered alphabetically), and test them. This method will hopefully ensure that my results are totally unbiased.

Conclusion

σ = Standard Deviation

The equation for this is:

σ = √∑x²-x²

n²

Using graphs means I can show and prove my work in the form of a picture. It may help those who don’t understand statistical data to interpret my work to its full and understand what I have and why I have done it.

Using Spearman’s Rank Correlation Coefficient means that I can find out whether a graph has positive or negative correlation and whether the hypothesis is correct or not.

The equation for this is:

Correlation = 1- 6Σd²

n³ - n

Problems which may occur

There will be certain limitations to this experiment for example people could lie about how much sleep they get per night or they might not take it seriously and give false answers when estimating a minute. This will cause anomalous results. Another problem might be is that students will not be willing to take the time out to help me with my coursework so therefore I will not collect enough data.

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