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# 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

75 91 92 137 138 188 189 214 215 243 244 275 276 309 310 326 327 343 344 356 357 360 361 372 373 5 6 27 28 56 57 76 77 93 94 139 140 190 191 216 217 245 246 277 278 311 312 328 329 345 346 362 363 374 7 8 29 30 58 59 78 79 95 96 141 142 192 193 218 219 247 248 279 280 313 314 330 331 347 348 364 365 9 10 31 32 60 61 80 81 97 98 143 144 194 195 220 221 249 250 281 282 315 316 332 333 349 350 366 367 11 12 33 34 62 63 82 83 99 100 145 146 196 197 222 223 251 252 283 284 317 318 334 335 351 352 368 369 13 14 35 36 64 65 84 85 101 102 147 148 198 199 224 225 253 254 285 286 319 320 336 337 353 15 16 37 38 66 67 86 87 103 104 149 150 200 201 226 227 255 256 287 288 321 322 338 339 17 18 39 40 68 69 88 105 106 151 152 202 203 228 229 257 258 289 290 323 340 19 20 41 42 70 71 107 108 153 154 204 205 230 231 259 260 291 292 21 22 ...read more.

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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