Problem 1 15 points Here is a set of 100 random numbers. Consider this our "population" of all possible numbers. **Note, the function rand() continuously recalculates each time you hit enter.

18.9114467290834 12.9501967553078 15.9971359026942 18.466509142977 9.92003660753205 3.90689329911232 19.1761108700941 7.77957963947265 13.369179424356 9.12247281164927 9.71837446900136 7.64888190900277 15.3148922209578 16.9151225440674 3.87622836701003 12.2237302892709 11.707735912982 1.77745500743751 8.93770402979132 13.0021477042721 6.49106605004756 8.49669254184162 19.2125960252527 8.12887229256067 1.78626040377686 3.16723697445076 4.18513708832744 18.623353779718 0.94482890544479 0.14061652713888 8.70898996448253 19.5900110506018 2.69393034120464 0.7012368111265 0.81826948648767 17.607554447392 1.66838342356638 7.97150272322164 8.43162547197692 11.4531985400685 8.70275384831589 10.8286416725335 4.00453772923381 15.4710554750059 1.01918206374839 2.75697352300405 11.3806538012802 13.2440217266622 4.72339200403256 1.34203583585165 4.08135699130784 0.67678881424887 18.8299927918985 19.967511558183 14.0236113875261 19.8437261817158 19.0984723072959 15.3692994511958 6.93279944196575 5.58322311991497 OFFRO 4210007 30 4400001003 9.8261397802703 14.2015577122727 1.52162744053374 5.08992436277983 3.88558879439709 12.9476853994574 10.9879614318097 19.4468991955275 3.72194906946625 5.87583506977349 016625 € 875DSED 9.19543027332649 13.0006832098015 7.28699010794407 15.6806946381652 5.577407745945 19.8936891782931 16.8659352996303 8.11972934328742 14.7191756976811 12.8038429708233 2.03005413234415 16.9013093674459 13.319773613482 12.240042387569 6.05541886043888 8.69921021875849 4.2332386719775 19.9298438964653 15.6142732638301 7.53323293640674 7.04719718836398 4.48431948330096 12.3381977745481 10.8722760365183 13.5196388040306 0.02036157685075 12.0925170331267 14.726540455008 8.07726799945931 11.6339803148161 www 12.00060 a) Find the mean and standard deviation of this entire set of numbers Mean St.Dex. b) Select a sample of ten of these numbers. Find the mean and standard deviation of this sample. Do this for five different samples. Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Mean St. Dev c) Comment on how the sample statistics differ from the population statistics