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    Z scores, Z statistics, p-value and APA format

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    Given the research scenario, data points, set of population parameters and alpha set at p = .05, generate the correct:
    - Pair of hypotheses for each data point
    - A z statistic and p value for each data point
    - Decision about the null hypothesis for each data point
    - APA-formatted statement of results for each data point

    Please report z scores to two decimals and p values to three decimals. If the p value is less than .001, report it as p < .001.

    PROBLEM #3
    Problem 3: µ = 100 ; σ =30
    Child Concentration Z P Hypothesis Error
    Child 1 75 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 2 81 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 3 89 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 4 99 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 5 115 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 6 127 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 7 138 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 8 139 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 9 142 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 10 148 z= p= Decision about H0: Possible Error:
    APA Statement:

    Report z scores to two decimals and p values to three decimals. If the p value is less than .001, report it as p < .001.

    Problem 3 µ = 100
    σ =30

    Child Concentration z score p value
    1 75
    2 81
    3 89
    4 99
    5 115
    6 127
    7 138
    8 139
    9 142
    10 148

    Add 10 APA-style conclusion statements for Problem 3 here.
    Which child or children, if any, appeared to come from a significantly different population than the one used in the null hypothesis?
    ________________________________________

    PROBLEM #4
    Problem 4: µ = 100 ; σ =40
    Child Concentration Z P Hypothesis Error
    Child 1 75 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 2 81 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 3 89 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 4 99 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 5 115 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 6 127 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 7 138 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 8 139 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 9 142 z= p= Decision about H0: Possible Error:
    APA Statement:
    Child 10 148 z= p= Decision about H0: Possible Error:
    APA Statement:

    Report z scores to two decimals and p values to three decimals. If the p value is less than .001, report it as p < .001.
    Problem 4 µ = 100
    σ =40

    Child Concentration z score p value
    1 75
    2 81
    3 89
    4 99
    5 115
    6 127
    7 138
    8 139
    9 142
    10 148

    Add 10 APA-style conclusion statements for Problem 4 here.
    Which child or children, if any, appeared to come from a significantly different population than the one used in the null hypothesis?
    What happens to the "significance" of each child's data as the data are progressively more dispersed?

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    https://brainmass.com/statistics/probability/z-scores-z-statistics-p-value-and-apa-format-569853

    Solution Summary

    This solution is comprised of a detailed explanation of Z scores, Z statistics, p-value and APA format. This solution mainly discussed above 2 questions in which we defined null and alternative hypothesis, calculating the z statistics and p-value and provided the decision about the null hypothesis in APA format. Full calculations are shown in each 10 sub parts of these 2 questions for better clarity.

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