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Practice

Practice. 10.15 Did the type of signal effect response time?. t crit (15) = +/- 2.447 t obs = -2.24 Fail to reject Ho The type of signal does not have a significant effect on response time. New Step. Should add a new page Determine if One-sample t-test Two-sample t-test

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Practice

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  1. Practice • 10.15 • Did the type of signal effect response time?

  2. t crit (15) = +/- 2.447 • t obs = -2.24 • Fail to reject Ho • The type of signal does not have a significant effect on response time.

  3. New Step • Should add a new page • Determine if • One-sample t-test • Two-sample t-test • If it is a dependent samples design • If it is a independent samples with equal N • If it is a independent samples with unequal N

  4. Thus, there are 4 different kinds of designs • Each design uses slightly different formulas • You should probably make up ONE cook book page (with all 7 steps) for each type of design • Will help keep you from getting confused on a test

  5. “My teacher is an idiot!” • You wonder if the professors at Villanova are more intelligent than the average person. To examine this you collected data from 4 of your teachers. Determine if Villanova professors really have significantly ( = .05) higher IQs than the average IQ of the general population ( = 100).

  6. Data

  7. Step 1: Write out Hypotheses • Alternative hypothesis • H1: Prof > 100 • Null hypothesis • H0:  Prof < or = 100

  8. Step 2: Calculate the Critical t • N = 4 • df = 3 •  = .05 • tcrit = 2.353

  9. Step 3: Draw Critical Region tcrit = 2.353

  10. Step 4: Calculate t observed tobs = (X - ) / Sx

  11. Step 4: Calculate t observed tobs = (X - ) / Sx Sx = S / N

  12. Step 4: Calculate t observed tobs = (X - ) / Sx 14.73=29.45 / 4

  13. Step 4: Calculate t observed tobs = (X - ) / Sx 2.44 = (136 - 100) / 14.73 1.18=14.4 / 150

  14. Step 5: See if tobs falls in the critical region tcrit = 2.353

  15. Step 5: See if tobs falls in the critical region tcrit = 2.353 tobs = 2.44

  16. Step 6: Decision • If tobs falls in the critical region: • Reject H0, and accept H1 • If tobs does not fall in the critical region: • Fail to reject H0

  17. Step 7: Put answer into words • We reject H0 and accept H1. • Professors at Villanova have significantly ( = .05) higher IQs than the average IQ of the general population ( = 100).

  18. Practice • 10.30 • Are surgeons who have been sued more likely to sound dominating than surgeons who have not been sued? • Alpha = .05

  19. t crit (15) = -1.753 • t obs = -2.16 • Accept H1 • Surgeons who sound dominating are more likely to be sued (alpha = .05) than other surgeons.

  20. Practice • Sleep researchers decide to test the impact of REM sleep deprivation on a computerized assembly line task. Subjects are required to participate in two nights of testing. On each night of testing the subject is allowed a total of four hours of sleep. However, on one of the nights, the subject is awakened immediately upon achieving REM sleep. Subjects then took a cognitive test which assessed errors in judgment. Did sleep deprivation lower the subjects cognitive ability?

  21. tobs = 6.175 •  tcrit = 1.83 • Sleep deprivation lowered their cognitive abilities.

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