Exam 1

  1. Metainformation

    Tag Value
    fileDescriptive-statistics_vufsw-proportion-1279-en_vufsw-proportion-1279-en
    namevufsw-proportion-1279-en
    sectiondescriptive statistics/summary statistics/proportion
    typeschoice
    solutionFALSE, FALSE, TRUE, FALSE, FALSE
    Typecalculation
    Programcalculator
    LanguageEnglish
    Levelstatistical literacy

    Question

    The average income of a large sample of students who all work at a law firm is 500 euros (per month), with a standard deviation of 100 euros. The average income is normally distributed. What is the proportion of students with an income higher than 450 euros per month?


    1. FALSE: 0.50
    2. FALSE: 0.56
    3. TRUE: 0.69
    4. FALSE: 0.31
    5. FALSE: 0.85

    Solution

    z = (450-500)/100 = 0.500 (it is half a sd from the mean). The Z Score Table shows for z = 0.50 the figure of 0.3085. This is the probability of an income below 450. Thus, the probability of an income higher than 450 euros per month is 1-0.3085= 0.6915.

    If you want to know more about how to calculate this watch this clip

    Language
    Nederlands

    Levels of Difficulty
    Medium

    M&T BIS
    Default value

    M&T Distributions
    Default value


    1. False
    2. False
    3. True
    4. False
    5. False