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

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.

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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?

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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