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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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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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