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Survey Results

Survey Results. Practice. The Neuroticism Measure = 23.32 S = 6.24 n = 54 How many people likely have a neuroticism score between 29 and 34?. Practice. (29-23.32) /6.24 = .91 B = .3186 ( 34-23.32)/6.26 = 1.71 B =.4564 .4564-.3186 = .1378 .1378*54 = 7.44 or 7 people.

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Survey Results

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  1. Survey Results

  2. Practice • The Neuroticism Measure = 23.32 S = 6.24 n = 54 How many people likely have a neuroticism score between 29 and 34?

  3. Practice • (29-23.32) /6.24 = .91 • B = .3186 • ( 34-23.32)/6.26 = 1.71 • B =.4564 • .4564-.3186 = .1378 • .1378*54 = 7.44 or 7 people

  4. Finding a score when given a probability • What IQ score is required to fall in the top 20 percent of the population?

  5. Step 1: Sketch out question .20 100 ?

  6. Step 2: Look in Table C In column C get as close to .20 as you can and find the corresponding Z score = .84 .20 100 ?

  7. Step 3: Find the X score that goes with the Z score • Z score = .84 • Z = (X -  ) /  • .84 = (X - 100) / 15 • Must solve for X • X =  + (z)() • X = 100 + (.84)(15)

  8. Step 3: Find the X score that goes with the Z score • Z score = .84 • Z = (X -  ) /  • .84 = (X - 100) / 15 • Must solve for X • X =  + (z)() • X = 100 + (.84)(15) = 112.6 • A score of 112.6 is needed to be in the top 20 percent!

  9. Finding a score when given a probability • What IQ score is required to fall in the bottom 10 percent of the population?

  10. Step 1: Sketch out question .10 100

  11. Step 2: Look in Table C In column C get as close to .10 as you can and find the corresponding Z score = - 1.28 (NOTICE-NEGATIVE) .10 100

  12. Step 3: Find the X score that goes with the Z score • Must solve for X • X =  + (z)() • 80.8 = 100 + (-1.28)(15)

  13. Step 3: Find the X score that goes with the Z score • Must solve for X • X =  + (z)() • 80.8 = 100 + (-1.28)(15) • Thus, a you need an IQ of 80.8 to fall in the bottom 10 percent of the population

  14. Practice • On the next test I will give an A to the top 5 percent of this class. • The average test grade is 56.82 with a SD of 6.98. • How many points on the test did you need to get to get an A?

  15. Step 1: Sketch out question .05

  16. Step 2: Look in Table C In column C get as close to .05 as you can and find the corresponding Z score = 1.64 .05

  17. Step 3: Find the X score that goes with the Z score • Must solve for X • X =  + (z)() • 68.26 = 56.82 + (1.64)(6.98)

  18. Step 3: Find the X score that goes with the Z score • Must solve for X • X =  + (z)() • 68.26 = 56.82 + (1.64)(6.98) • Thus, a you need a score of 68.26 to get an A

  19. Practice • The prestigious Whatsamatta U will only take people scoring in the top 97% on the verbal section SAT (i.e., they reject the bottom 3%). • What is the lowest score you can get on the SAT and still get accepted? • Mean = 500; SD = 100

  20. Step 1: Sketch out question .03

  21. Step 2: Look in Table C In column C get as close to .03 as you can and find the corresponding Z score = -1.88 .03

  22. Step 3: Find the X score that goes with the Z score • Must solve for X • X =  + (z)() • 312 = 500 + (-1.88)(100)

  23. Step 3: Find the X score that goes with the Z score • Must solve for X • X =  + (z)() • 312 = 500 + (-1.88)(100) • Thus, you need a score of 312 on the verbal SAT to get into this school

  24. Practice • IQ Tests • Mean = 100 • SD = 15 • 7.11 • 7.12

  25. 7.11 Z = -2.0 p = .0228 • 7.12 (.0228)(4000) = 91.2 students

  26. Practice • IQ Tests • Mean = 100 • SD = 15 • 7.15 • 7.16

  27. 7.15 p =.02; Z = 2.06 100 + (2.06)(15) = 130.9 • 7.16 a) p = .05; Z = 1.65 (1.64 is fine too) 64.3 + (1.65)(2.5) = 68.4 inches b) (58 – 64.3)/2.5 = -2.52 p = .0059

  28. Practice • Page 136 • 7.19 • 7.21

  29. 7.19 a) Z = (30-35)/6 = -.83; p = .2967 Z = (40-35)/6 = .84; p =.2967 p = .2967 + .2967 = .5934 b) .5934 • 7.21 Z = (20-35)/6 = -2.50; p = .4938 Z = (30-35)/6 = -.83; p =.2967 p = .4938 - .2067 = .1971

  30. Practice • 6.22

  31. Practice • X = Stanford-Binet • Y = WAIS • b = .80 (15 / 16) = .75 • a = 100 – (.75)100 = 25 • Y = 25 + (.75)X • 73.75 = 25 + (.75)65 • It’s a bad idea to use the same cut off score for these two tests

  32. Practice • 6.5

  33. Practice • Page 96 # 5.5 • r = .51

  34. Practice • 7.27 • 7.29

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