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INTEGRATED LEARNING CENTER

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1 INTEGRATED LEARNING CENTER
Screen Lecturer’s desk Cabinet Cabinet Table Computer Storage Cabinet 4 3 Row A 19 18 5 17 16 15 14 13 12 11 10 9 8 7 6 2 1 Row B 3 23 22 6 5 4 21 20 19 7 18 17 16 15 14 13 12 11 10 9 8 2 1 Row C 24 4 3 23 22 5 21 20 6 19 7 18 17 16 15 14 13 12 11 10 9 8 1 Row D 25 2 24 23 4 3 22 21 20 6 5 19 7 18 17 16 15 14 13 12 11 10 9 8 1 Row E 26 25 2 24 4 3 23 22 5 21 20 6 19 18 17 16 15 14 13 12 11 10 9 8 7 27 26 2 1 Row F 25 24 3 23 4 22 5 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 28 27 26 1 Row G 25 24 3 2 23 5 4 22 29 21 20 6 28 19 18 17 16 15 14 13 12 11 10 9 8 7 27 26 2 1 Row H 25 24 3 23 22 6 5 4 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 26 2 1 Row I 25 24 3 23 4 22 5 21 20 6 19 18 17 16 15 14 13 12 11 10 9 8 7 26 1 25 3 2 Row J 24 23 5 4 22 21 20 6 28 19 7 18 17 16 15 14 13 12 11 10 9 8 27 26 25 3 2 1 Row K 24 23 4 22 5 21 20 6 19 7 18 17 16 15 14 13 12 11 10 9 8 Row L 20 19 18 1 17 3 2 16 5 4 15 14 13 12 11 10 9 8 7 6 INTEGRATED LEARNING CENTER ILC 120 broken desk

2 BNAD 276: Statistical Inference in Management Spring 2016
Welcome Green sheets

3 By the end of lecture today 2/9/16
Characteristics of a distribution Central Tendency Dispersion Measures of variability Range Standard deviation Variance Memorizing the four definitional formulae

4

5 Schedule of readings Before next exam: February 18th Please read
Chapters in OpenStax Supplemental reading (Appendix D) Supplemental reading (Appendix E) Supplemental reading (Appendix F) Please read Chapters 1, 5, 6 and 13 in Plous Chapter 1: Selective Perception Chapter 5: Plasticity Chapter 6: Effects of Question Wording and Framing Chapter 13: Anchoring and Adjustment

6 These would be helpful to know by heart – please memorize
Standard deviation: The average amount by which observations deviate on either side of their mean These would be helpful to know by heart – please memorize these formula

7 Review of Homework Worksheet
Each of these are deviation scores 3 – 5 = -2 -22= 4 6 – 5 = +1 -2 1 3 -1 4 1 9 12= 1 3 -3 -1 1 9 1 Σ(x - µ) = 0 50 36 36 2 = 2 10 - 1 This is the standard deviation! 5 4 4.5 2 8 6

8 Review of Homework Worksheet
-12= 1 5 – 6 = -1 -1 2 3 1 4 9 22= 4 8 – 6 = +2 -1 3 1 -5 1 9 25 60 52 52 2.4 = 2.4 10 - 1 5 6 5.5 1 9 8

9 Must be complete and must be stapled
Hand in Homework Must be complete and must be stapled

10 Raw scores, z scores & probabilities
Please note spatially where 1 standard deviation falls on the curve

11 Raw scores, z scores & probabilities
Please note spatially where 1 standard deviation falls on the curve 68% 95% 99.7%

12 These would be helpful to know by heart – please memorize areas
1 sd above and below mean 68% 2 sd above and below mean 95% 3 sd above and below mean 99.7% These would be helpful to know by heart – please memorize areas

13 Price per Movie Package
Movie Packages We sampled 100 movie theaters (Two tickets, large popcorn and 2 drinks) What is the most common “deviation score”? 12 Deviation = 0 10 Frequency 8 6 4 2 Price per Movie Package This distance is about 3 - 4 points on number line What’s the ‘typical’ or standard deviation? Mean = $37 Range = $27 - $47 Standard Deviation = 3.5

14 Amount of Bonuses (based on commission) We sampled 100 retail workers
68% 95% 99.7% What’s the ‘typical’ or standard deviation? This distance is about 10 points on number line What’s the largest possible deviations? Mean = $50 Range = $25 - $75 $75 – $50= $25 $25 – $50= -$25 Standard Deviation = 10

15 Pounds of pressure to break casing
on an insulator (We applied pressure until the insulator casing broke) What’s the ‘typical’ or standard deviation? This distance is about 200 points on number line Mean = 1700 pounds Range = 1200 – 2100 What’s the largest possible deviation? = 400 Standard Deviation = 200 = -500

16 What’s the ‘typical’ or standard deviation?
Waiting time for service at bank We sampled 100 banks (From time entering line to time reaching teller) What’s the ‘typical’ or standard deviation? This distance is about points on number line Mean = 3 minutes Range = What’s the largest possible deviation? =.8 =-.8 Standard Deviation = 0.30

17 Number correct on exam (counted number of correct on 100 point test)
Mean = 50 Standard Deviation = 10

18 Quiz: Just for fun Monthly electric bills for 50 apartments (amount of dollars charged for the month) Mean = $150 Range = The best estimate of the population standard deviation is a. $150 b. $25 c. $50 d. $63 Standard Deviation = 25

19 Quiz: Just for fun Amount of soda in 2-liter containers (measured amount of soda in 2-liter bottles) What’s the largest possible deviation? Mean = 2.0 Range = – 2.109 0.106 -0.109 The best estimate of the population standard deviation is a b c d. 2.0 Standard Deviation = 0.044

20 Scores on an Art History exam (measured number correct out of 100)
Quiz: Just for fun Scores on an Art History exam (measured number correct out of 100) What’s the largest possible deviation? Mean = 50 Range = = - 25 = 20 The best estimate of the population standard deviation is a. 50 b. 25 c. 10 d. .5 Standard Deviation = 10

21 Scores on Art History Exam
Quiz: Just for fun Scores on Art History Exam One way to estimate standard deviation* σ≈ range / 5 Mean = 50 Range = Range 70 – 25 = 45 45 / 5 = 9 The best estimate of the population standard deviation is a. 50 b. 25 c. 10 d. .5 Standard Deviation = 10

22 You already know this by heart
1 sd above and below mean 68% 2 sd above and below mean 95% 3 sd above and below mean 99.7% 68% Confidence interval 95% Confidence interval 99% Confidence interval You already know this by heart

23 Raw scores, z scores & probabilities
1 sd above and below mean 68% z = +1 z = -1 Mean = 50 S = 10 (Note S = standard deviation) If we go up one standard deviation z score = +1.0 and raw score = 60 If we go down one standard deviation z score = -1.0 and raw score = 40

24 Raw scores, z scores & probabilities
2 sd above and below mean 95% z = -2 z = +2 Mean = 50 S = 10 (Note S = standard deviation) If we go up two standard deviations z score = +2.0 and raw score = 70 If we go down two standard deviations z score = -2.0 and raw score = 30

25 Raw scores, z scores & probabilities
3 sd above and below mean 99.7% z = +3 z = -3 Mean = 50 S = 10 (Note S = standard deviation) If we go up three standard deviations z score = +3.0 and raw score = 80 If we go down three standard deviations z score = -3.0 and raw score = 20

26 Summary of 7 facts to memorize

27 Writing Assignment – Pop Quiz
1. What is a “deviation score” 2. Preston has a deviation score of 2: What does that tell us about Preston? Is he taller or shorter than the mean? And by how much? Are most people in the group taller or shorter than Preston Mike has a deviation score of -4: What does that tell us about Mike? Are most people in the group taller or shorter than Mike Diallo has a deviation score of 0: What does that tell us about Diallo? Are most people in the group taller or shorter than Diallo? Please write the formula for the standard deviation of a population Please draw 3 curves showing 1, 2 & 3 standard deviations from mean

28 Writing Assignment – Pop Quiz
7. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? 8. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? 9. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? 10. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? 11. What does this symbol refer to?

29 Writing Assignment – Pop Quiz
12. What does this refer to? What are they called? What do they refer to? How are they different 13. What does this refer to? What are they called? How are they different 14. What do these two refer to? What are they called? How are they different 15. What does this refer to? What is it called? Use it for sample data or population?

30 Writing Assignment – Pop Quiz
16. What does this refer to? What are they called? What do they refer to? How are they different 17. What does this refer to? What are they called? What do they refer to? How are they different

31 Writing Assignment – Pop Quiz 1. What is a “deviation score”
2. Preston has a deviation score of 2: What does that tell us about Preston? Is he taller or shorter than the mean? And by how much? Are most people in the group taller or shorter than Preston Mike has a deviation score of -4: What does that tell us about Mike? Are most people in the group taller or shorter than Mike Diallo has a deviation score of 0: What does that tell us about Diallo? Are most people in the group taller or shorter than Diallo? Please write the formula for the standard deviation of a population Please draw 3 curves showing 1, 2 & 3 standard deviations from mean How far away is each score from the mean? Preston is 2” taller than the mean (taller than most) Mike is 4” shorter than the mean (shorter than most) Diallo is exactly same height as mean (half taller half shorter)

32 Writing Assignment – Pop Quiz
The standard deviation (population) 7. What does this symbol refer to? What is it called? What does it mean? Is it referring to a sample or population? sigma population The mean (population) 8. What does this symbol refer to? mu What is it called? What does it mean? Is it referring to a sample or population? population The mean (sample) 9. What does this symbol refer to? x-bar What is it called? What does it mean? Is it referring to a sample or population? sample The standard deviation (sample) 10. What does this symbol refer to? s What is it called? What does it mean? Is it referring to a sample or population? sample 11. What does this symbol refer to? Each individual score

33 Variance Writing Assignment – Pop Quiz 12. What does this refer to?
population sample 12. What does this refer to? Variance What are they called? What do they refer to? How are they different S squared Sigma squared 13. What does this refer to? population sample What are they called? How are they different Deviation scores 14. What do these two refer to? sample population What are they called? How are they different Sum of squares 15. What does this refer to? Degrees of freedom What is it called? Use it for sample data or population?

34 Writing Assignment – Pop Quiz
Standard Deviation Writing Assignment – Pop Quiz 16. What does this refer to? What are they called? What do they refer to? How are they different sample population Variance 17. What does this refer to? What are they called? What do they refer to? How are they different sample population

35 Thank you! See you next time!!

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