Given a distribution of raw scores in which x̅ = 7.5 and s = 1.3, express each of the following raw scores as a Z score.   8.0 6.0 5.3 10.2 11.5   The administration of SUNYA has found that the grade point average of all students is normally distributed with x̅ = 2.5 and s = .6.Find the probability that one student selected at random will have a grade point average which is:   lower than 2.0 or higher than 3.2 higher than 3.0 between 2.0 and 3.2 What is the value of x at the 45th percentile?   For a normal distribution of daily incomes in which x̅ = $10.50 and s = $2.80, find   the percent of respondents who earn a daily income of $15 or more the percent of respondents who earn between $10 and $10.50 the probability of locating a respondent whose income is $10 or less the probability of locating a respondent whose income does not fall between $10 and $11

Social Psychology (10th Edition)
10th Edition
ISBN:9780134641287
Author:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers
Publisher:Elliot Aronson, Timothy D. Wilson, Robin M. Akert, Samuel R. Sommers
Chapter1: Introducing Social Psychology
Section: Chapter Questions
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  1. Given a distribution of raw scores in which x̅ = 7.5 and s = 1.3, express each of the following raw scores as a Z score.

 

  1. 8.0
  2. 6.0
  3. 5.3
  4. 10.2
  5. 11.5

 

  1. The administration of SUNYA has found that the grade point average of all students is normally distributed with x̅ = 2.5 and s = .6.Find the probability that one student selected at random will have a grade point average which is:

 

  1. lower than 2.0 or higher than 3.2
  2. higher than 3.0
  3. between 2.0 and 3.2
  4. What is the value of x at the 45th percentile?

 

  1. For a normal distribution of daily incomes in which x̅ = $10.50 and s = $2.80, find

 

  1. the percent of respondents who earn a daily income of $15 or more
  2. the percent of respondents who earn between $10 and $10.50
  3. the probability of locating a respondent whose income is $10 or less
  4. the probability of locating a respondent whose income does not fall between $10 and $11
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