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    Testing Means in a Two-Group Design

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    T test for independent groups and dependent groups (Two-group designs)

    1. An LU professor is interested in whether there is a difference between undergraduate students and graduate students in the amount of time spent praying each day. The professor gathers information from random samples of undergraduate and graduate students on the LU campus. The amount of time praying is normally distributed and is measured on an interval/ratio scale.

    Graduate Undergraduate
    15 9
    17 11
    10 9
    13 6
    11 5
    17 6

    a. What statistical test should be used to analyze the data?

    b. Is this a one- or two tailed test?

    c. Identify H0 and Ha for this study.

    d. Conduct the appropriate analysis. Should H0 be rejected?

    2. A teacher wants to investigate whether there is a difference between male and female students in the amount of time they spend studying for statistics. The table below shows the amount of time students spend studying statistics each week. The amounts of time spent studying are normally distributed.

    Male Female
    27 25
    25 29
    19 18
    10 23
    16 20
    17 15
    15 19

    a. What statistical test should be used to analyze the data?

    b. Is this a one- or two tailed test?

    c. Identify H0 and Ha for this study.

    d. Conduct the appropriate analysis. Should H0 be rejected?

    3. A researcher is interested in whether listening to music helps or hinders test-performance. To control for differences in cognitive level, this researcher decides to use a within-participants design. He selects a random sample of participants and has them study different material of equal difficulty in both the music and no music conditions. Participants take a 20-item quiz on the material. The table below shows the scores on the quiz. The study is completely counterbalanced to control for order effects. The scores obtained are measured on an interval-ratio scale and are normally distributed.

    Music No Music
    17 17
    16 18
    15 17
    16 17
    18 19
    18 18

    a. What statistical test should be used to analyze the data?

    b. Is this a one- or two tailed test?

    c. Identify H0 and Ha for this study.

    d. Conduct the appropriate analysis. Should H0 be rejected? What should the researcher conclude?

    e. Calculate the 95 confidence interval.

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    https://brainmass.com/statistics/hypothesis-testing/407760

    Solution Summary

    The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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