# I shall collect data from a population in order to estimate population parameters (e.g. and 2) by using estimating techniques.

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Introduction

SURVEYING THE ISSUES. INTRODUCTION: I shall collect data from a population in order to estimate population parameters (e.g. � and ?2) by using estimating techniques. I shall take a random sample as well as calculating and comparing confidence intervals. AIM: I'm going to undertake a small-scale survey using a questionnaire, to estimate population parameters. POPULATIONS USED: I'm going to take the number of 13 to 16 year old students at Newmarket Upper School who took part in the questionnaire as my population as my first population and the number of 13 to 16 year olds in Suffolk as my second population. SAMPLE SIZE: To get my sample from the population, I will use a random number generator to get n responses from the question. This would be the sample for my first population: How much pocket money do you normally get on weekly basis? (Tick appropriate box) Under �5 Over �5 To make accurate estimates of population parameters the sample must be large enough. The Central Limit Theorem allows predictions to be made about the distribution of the sample mean without any knowledge of the distribution of the parent population, as long as the sample is large enough. For this reason, my sample size, n will be set at 100, which I consider large enough for the distribution of its mean to be Normal. ...read more.

Middle

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Conclusion

to 374 (second population), the value of the mean was getting closer to its true value. Going back to my original question "HOW MUCH POCKET MONEY DO YOU NORMARLLY GET ON WEEKLY BASIS?: OVER �5 OR UNDER �5" I can say that I am 95% confident that between 44% and 64% of all the student who participated in the qustionnaire get �5.00 or more every week for their pocket money. I am also 95% confident that between 57% and 66% of all 13 to 16 year olds in the Suffolk County receive �5 or more for their weekly pocket money. POSSIBLE EXTENSION: If I had enough time, I would also carry out the short survey to other schools within Suffolk. This would improve on my sampling of the second population and also would give me accurate population parameters; rather than using results from one school as the sample. LIMITATIONS: The size of the sample of the first population was small (compared to the popultion itself) ; therefore calculations that relied upon the data collected are therefore inaccurate to some extent. The results may be unreliable because some of the student might have given false information i.e lie about the amount of money they are given by their parents for pocket money. This could mean that the actual population parameters are somewhat different to the ones estimated here. ...read more.

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