answer question 3 in the photo
vitamin-maintenance level y an index in [0,10] youth defined as people who are at most 17 years of adult defined as people more than 17 years of age X number of days of exposure to pollutant individual _adult x for individual i y_youth x for indivic 1 6.069868 200 4.3117805! 200 2 6.6396925 212 5.1174245! 212 3 2.023864 212 3.7022651! 212 4 2.7210775 224 1.7562205 224 5 4.4812102 224 2.078233 224 6 3.1629908! 236 4.9935532 236 7 0.5576575 236 2.5096730! 236 8 4.1215114 248 2.5804366 248 9 3.3000409 248 0.8387305 248 10 1.7789785 260 1.9794038! 260 11 0.8347735 272 2.4516050! 272 12 5.0112659! 284 3.6513367 284 13 1.4417305 296 4.923424 296 14 4.5301063! 298 3.9810824 298 15 4.4477364! 306 3.0965733 306 16 5.5057345 308 2.865283 308 17 4.4177167 314 0.822208 314 18 3.6006529 314 2.8787254 314 19 3.6581644 320 1.6784728 320 20 3.2064723 322 2.3375385! 322 21 2.2286373! 324 1.900017 324 22 3.1744217! 326 2.2402373! 326 23 1.8187235 330 0.173442 330 24 1.9180426 332 4.982158 332 25 4.1384402 336 1.5073603! 336 26 0.8965765 338 3.9319868! 338 27 2.3613847 338 1.7936441! 338 28 1.9068889 344 4.439467 344 29 1.420527 346 1.2285926 346 30 4.3826725! 346 2.2070442! 346 31 4.1690828 348 2.9464072! 348 32 4.4139746! 350 2.1773588! 350 33 1.676175 352 5.4558575 352 34 4.6786441 356 4.062196 356 35 2.1616081! 358 2.9047784 358 36 3.479417 360 0.2446485 360 37 0.4391005 362 1.0996006 362 38 0.304008 364 1.0812438! 364 39 4.3171312 365 0.709045 365\fNote: you can ignore the exposure to pollutant (x) variable for Part One. 1. Construct two histograms of the y-variable, one for each of the age groups in Excel. Choose \"insert statistical chart >> histogram\". Use \"select the data\" and highlight the column of interest. Include axis labels, and a legend. For both histograms choose the width of the bins to be 1.0. You can make this change by right-clicking the horizontal axis, choosing 'format axis', and inserting the desired bin width. 2. Considering your histograms, do the adult or youth age groups seem more susceptible to vitamin deficiency? 3. What statistical measures of location and spread will help you be more precise about the differences? Calculate those that you suggest using Excel, and comment on the patterns. In order to develop a statistical model of the difference between the two groups we postulate the following data generation process (see Lecture 14): _ - 2 Yadultj - ,u + 5 + Eaauw With Eaduit,i"N(0: Jaduit) _ - 2 Yyouch,i l\" + syouthi W'th syouthJNNa)! ayouth) Where ,u and 6 are unknown population parameters, and all errors are assumed statistically independent