Exam 1

  1. Metainformation

    Tag Value
    fileInferential_Statistics_uu-Difference-two-means-600-en_uu-Difference-two-means-600-en
    nameuu-Difference-two-means-600-en
    sectionInferential Statistics/Sampling Distributions/Difference two means
    typeschoice
    solutionFALSE, FALSE, TRUE, FALSE
    TypeCalculation
    Program
    LanguageEnglish
    LevelStatistical Literacy

    Question

    If for two independent samples of 5 people each, the pooled variance equals 20, what is the value of the standard error of the difference between two sample averages?


    1. FALSE: 2
    2. FALSE: 5\sqrt{5}
    3. TRUE: 8\sqrt{8}
    4. FALSE: 10\sqrt{10}

    Solution

    SE=sp2n1+sp2n2=205+205=8SE=\sqrt{\frac{s_p^2}{n_1}+\frac{s_p^2}{n_2}}=\sqrt{\frac{20}{5}+\frac{20}{5}}=\sqrt{8} $SE