Exam 1

  1. Metainformation

    Tag Value
    fileDistributions_uva-central-limit-theorem-1293-en_uva-central-limit-theorem-1293-en
    nameuva-central-limit-theorem-1293-en
    sectionDistributions/Limit Theorems/Central Limit Theorem
    typeschoice
    solutionFALSE, TRUE, FALSE, FALSE
    TypeCalculation
    LanguageEnglish
    LevelStatistical Literacy
    IRT-Difficulty3
    p-value0.311

    Question

    A study of rush-hour traffic in Amsterdam shows the number of persons per vehicle entering a highway. Suppose X is the number of persons per vehicle with a mean of 1.5 and a standard deviation of 0.75 in the population.Ó A traffic expert estimates the capacity of an on-ramp to be 700 vehicles per hour. Use the Central Limit Theorem. Calculate an approximate the distribution of the average number of people in 700 randomly selected vehicles:


    1. FALSE: The distribution has a mean of 1 and a standard deviation of 1.
    2. TRUE: The distribution has a mean of 1.5 and a standard deviation of 0.028.
    3. FALSE: The distribution has a mean of 1.5 and a standard deviation of 0.75
    4. FALSE: The distribution has a mean of 350 and a standard deviation of 700.

    1. The distribution has a mean of 1 and a standard deviation of 1.:Incorrect
    2. The distribution has a mean of 1.5 and a standard deviation of 0.028…: Correct
    3. The distribution has a mean of 1.5 and a standard deviation of 0.75: Incorrect
    4. The distribution has a mean of 350 and a standard deviation of 700…: Incorrect