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    Statistical Analysis Hypothesis Help

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    The following data compares the statistics scores from 2 groups of students who were randomly sampled at the beginning of the study, and then randomly assigned to treatment conditions. One group of students was sleep-deprived and one group of students got a normal night's sleep.
    Sleep Normal
    Deprived Sleep
    45 79
    55 52
    67 84
    78 94
    45 91
    77 89
    76 79
    67 67
    77 77
    44 91
    X 63.1 80.3
    s2 210.11 166.46

    11. What type of design was used for this problem?

    12. How many subjects participated in this study?

    13. Should the researcher test whether the assumption of homogeneity has been met? Why or why not? No testing is needed for this question.

    14. Perform an appropriate analysis by hand to determine whether the sleep deprivation significantly reduces statistics scores (include all steps). Use ? = .05.

    15. Write a sentence in APA style regarding the results of this study.

    16. At the 80% confidence level, by how many points do people who got a normal nightâ??s sleep outperform those who are sleep-deprived? Show all necessary work to reach a conclusion.

    17. Interpret your confidence interval, that is, report the results of your estimation in a sentence. However, do not use the confidence interval to interpret the hypothesis test, rather, interpret the interval itself.

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    Solution Preview


    11. In this case, we have a group of students, and we randomly assigned them two 2 groups:
    1 group got a normal night sleep
    1 group were woken up and were sleep deprived

    Then both groups were asked to perform on a task, and the results were compared.
    So in this case, we are looking at a t-test for 2 independent samples.

    12. We need to add up all of the all of the vales, and that is the number of participant - so 20 in total, 10 in each group

    13. No - the assumption of homogeneity is done when you are looking at an ANOVA - which would be 3 different independent samples. We only have 2 samples here.

    14. There are 5 steps in the hypothesis test process

    Step 1 - state the hypothesis

    Here, we are looking at a 1 tailed test, since we ...

    Solution Summary

    The expert examines statistical analysis for hypothesis help. How many subjects participated in the study are determined.