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Learn by Doing

This activity gives you practice explaining the different parts of the StatCrunch print-out for a hypothesis test for a population mean. You will review the meaning of standard error, T-scores and the P-value.

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Here are the directions, grading rubric, and definition of high-quality feedback for the discussion board exercises.

A list of StatCrunch directions is provided at the bottom of this page.

Prompt

  1. In a previous lab we tested the following hypotheses, LaTeX: H_0


    H


    0


    : LaTeX: mu=4.73


    μ


    =


    4.73

    and LaTeX: H_a



    H


    a


    : LaTeX: mu<4.73


    μ


    <


    4.73

    (where LaTeX: mu


    μ

    is the mean number of alcoholic drinks consumed by students at a liberal arts college).

    In a random sample of 75 students, the mean was 3.93 alcoholic drinks consumed in a week. Here is the StatCrunch output from the hypothesis test.
    LaTeX: mu


    μ

    : Mean of variable
    LaTeX: H_0



    H


    0


    : LaTeX: mu=4.73


    μ


    =


    4.73


    LaTeX: H_A



    H


    A


    : LaTeX: mune4.73


    μ


    ≠


    4.73

    Hypothesis test results
    Variable Sample Mean Std. Err. DF T-Stat P-value
    number of drinks per week 3.9333333 0.43592434 74 -1.8275343 0.0717

    Using this context and the StatCrunch output, explain the meaning of each of the following.

    1. Std. Err (standard error)
    2. T-stat (T-score)
    3. P-value
  2. In a previous matched pairs lab we tested the following hypotheses, where LaTeX: mu

    μ

    is the mean of the differences in corn yield for a plot of land (regular seed minus kiln-dried): H0: µ = 0 and Ha: µ < 0. In a random sample of 11 seeds of each type, the mean of the differences in the sample was -33.7. Here is a StatCrunch print-out of the hypothesis test.

    Paired T hypothesis test:
    LaTeX: mu_D=mu_1-mu_2



    μ


    D



    =



    μ


    1



    −



    μ


    2


    : Mean of the difference between Regular seed and Kiln-dried seed
    LaTeX: H_0



    H


    0


    : LaTeX: mu_D=0



    μ


    D



    =


    0


    LaTeX: H_A



    H


    A


    : LaTeX: mu_D<0



    μ


    D



    <


    0

    Hypothesis test results
    Difference Mean Std. Err. DF T-Stat P-value
    Regular seed – Kiln-dried seed -33.727273 19.951346 10 -1.6904761 0.0609

    Differences stored in column, Differences.

    Using this context and the StatCrunch output, explain the meaning of each of the following.

    1. Std. Err (standard error)
    2. T-stat (T-score)
    3. P-value.

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