1 of 31 Presenter: Sebastian Tindall DQO Training Course Day 2 Introduction to Statistical Concepts: Demonstrations and Simulations 30 minutes (15 minute break) Exercise 0

2 of 31 Activities and Simulations for Day 2 & Day 3 Introduction to beads as target population 1.Ex 1: Construct and compare histograms for n = 5 and n = 50 – Simulation for n = 5 and n = 50 2.Ex 2: Do hypothesis test using x-bar and introduction to alpha error – Simulation for n = 5 and n = 50 3.Ex 3: Do hypothesis test using 95% UCL – Simulation for n = 5 and n = 50 4.Ex 4: Do hypothesis test with true mean equal to LBGR, i.e., beta error – Simulation for n = 5 and n = 50 5.Ex 5a: Do hypothesis test for a very clean site – Simulation for n = 5 and n = 50 6.Ex 5b: Do test for a very dirty site – Simulation for n = 5 and n = 50 7.Other simulations and questions and answers

3 of 31 Activities and Simulations Materials Needed for Activities in Exercises 1-5 and Simulations:  One blank white FDH graphs for bead histograms per student  One blank gray DPGD graph per student  One Bic pen per student  One bag of beads per student  Five “Clean” site bag and Five “Dirty” site bag for class  Excel spreadsheet “Beads Sampling Activity” for class  MATLAB program Visual Decision Tutor for class

4 of 31 Go to VDT 2 Beta 0.6

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6 of 31 Clear, 1 ppm Clear w/ silver sparkles, 2 ppm Clear w/ gold sparkles, 3 ppm White, 0 ppm Yellow, 4 ppm Orange, 5 ppmSolid Red, 8 ppm Clear Red, 6 ppm Clear Red w/ silver sparkles, 7 ppm Clear Lilac, 9 ppm Clear Blue, 10 ppm Clear Green, 12 ppmRoyal Blue, 11 ppmSolid Green, 13 ppmBlack, 14 ppm

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17 of 31 Return from VDT 2 Beta 0.6

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31 of 31 End of Exercise 0 Thank you Questions? We will now take a 15 minute break. Please be back in 15 minutes.