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Hypothesis Test for a Population Mean Discussion Paper Assignment Help

Hypothesis Test for a Population Mean Discussion Paper Assignment Help

Hypothesis Test for a Population Mean Discussion Paper Assignment Help

 

Description

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.

Some features of this activity may not work well on a cell phone or tablet. We highly recommend that you complete this activity on a computer.

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.
    μ : Mean of variable H 0 : LaTeX: \mu=4.73 μ = 4.73
    LaTeX: H_A H A : LaTeX: \mu\ne4.73 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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