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Part 4: Estimation of sample size J) Calculate the sample sizes necessary to achieve two different levels of precision in the estimate of the mean for your 20 footprint lengths from part A. You will need the equations at the beginning of the lab to do these calculations and you will need to solve for n. Question 9: What Is the sample Slze (n) for a desrred S y = 0.5 cm? Question 10: What is the sample size (n) for a desired SE7 = 1 cm? Sample size necessary to estimate L: to estimate |.1 with a predetermined level of precision, we can calculate the number of samples (n) necessary to achieve this goal. You need two things. First, you must have a desired standard error in mind, or a \"DSE\" (SEDM=d ); you set this according to your needs. Second, you need an estimate of the value of the population SD, 0. If you already have some data collected (from a pilot study?), then you use the standard error of the mean from the pilot study (SE? = SEPHM ) as the estimate of o. Othewvise you must estimate 0 using existing knowledge about the situation at hand. Third, we use the following equation to solve for n: Gucssed SD SEpo. NOTE: when you get a value for n, always round it up. Desich SE = Height Footprin Shoe Age in Time to # Brothers Birth $ in Stem Cell EPA Nuclear iender (in) t (cm) Size Months Rowan and Sisters Order Coins Fav Music Fav Cola Research Effectiveness Plants Section Term Cok 71 28.9 10 264 20 3 3 0 hh y ns y 5 65 28 8.5 305 12 O c ns ns ns 5 W W N 64 27.7 8.5 288 10 W N 0.5 0 y y y 64 25.4 6 235 120 2.56 0 y n . W 63 24 7.5 237 45 2 2 or ns 6 68 44 10.5 564 30 1.27 c y n 70 32.4 11 575 25 WN 0.5 0 . . . . 65 25.3 8 228 45 0 0 ns 68 26.6 9.5 242 30 0.31 hh - N 10 66 24.1 8 286 30 1.3 hh o o - - o 0 0 0 - - - - 0 - -0 4 40 0 11 65 24.4 7 233 120 0.47 j . . . . 12 68 29.2 9 606 163 0.82 r 13 72 25 10 228 NO N NN - O ON CNN - W - 10 0 0 14 61 23.2 4 554 10 0.36 0 15 68 25.6 7.5 224 60 or 16 65 22.4 8 633 55 oj . . . . 17 63 22.5 6 250 30 0.5 0 ns 18 62 24.8 7 249 15 NNNN- 2.17 0 ns 19 67 24.4 9 241 30 0 hh ns ns 2 F14 20 72 29.3 11.5 269 40 0 hh n n 2 F14