Independent t:  The Department of Motor Vehicles (DMV) enlisted the help of a social psychology professor to design a study to see if the attractiveness of the driving instructor affected the performance of young drivers. Thirty 16-year-olds going to take the driving exam were randomly assigned to an attractive or unattractive driving instructor.  For 20 of the drivers, the instructor was very attractive; for the other 10 drivers, the instructor was rated as being very unattractive. A panel of judges rated the performance of the two groups, and the mean performance ratings for the 16-year-olds with attractive instructors was 4.3 (S = .86) and with unattractive instructors, the mean was 5.4 (S = 1.30). Using the .05 significance level, did the attractiveness levels of the driving instructor affect driving performance? Use the five steps of hypothesis testing. Sketch the distributions involved. Figure the effect size.  Interpret your result placing it back into the context of the original question.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Independent t:  The Department of Motor Vehicles (DMV) enlisted the help of a social psychology professor to design a study to see if the attractiveness of the driving instructor affected the performance of young drivers. Thirty 16-year-olds going to take the driving exam were randomly assigned to an attractive or unattractive driving instructor.  For 20 of the drivers, the instructor was very attractive; for the other 10 drivers, the instructor was rated as being very unattractive. A panel of judges rated the performance of the two groups, and the mean performance ratings for the 16-year-olds with attractive instructors was 4.3 (S = .86) and with unattractive instructors, the mean was 5.4 (S = 1.30). Using the .05 significance level, did the attractiveness levels of the driving instructor affect driving performance?

  1. Use the five steps of hypothesis testing.
  2. Sketch the distributions involved.
  3. Figure the effect size. 
  4. Interpret your result placing it back into the context of the original question.
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