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Use the data in the table below for the following 4 problems. For each, use the stated µ and s to calculate the z score, get the p value (3 decimal places), and write out a formal APA statement of conclusion for each child. When you are finished with that, then answer the following question for each pair of parameters: 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?

NOTE: Problems #1 and #2 are PRACTICE PROBLEMS with the answers available via the link beside them.

Problems #3 and #4 are GRADED PROBLEMS

Please submit all 4 problems using the Module 3 Assignment 1 Template found in the Doc Sharing area.

Problem 1. µ = 100 seconds and s = 10 (practice problem – link to answer)

Problem 2. µ = 100 seconds and s = 20 (practice problem – link to answer)

Problem 3. µ = 100 seconds and s = 30 (graded problem)

Problem 4. µ = 100 seconds and s = 40 (graded problem)

Given the research scenario, data points, set of population parameters and alpha set at p = .05, is the student able to 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

Module 3 Assignment 1 Template

Fill in the answers for each table and answer the concluding FOUR questions below. Please round up your z scores to the hundredths spot, two decimals to the right and p values to the thousandths spot three decimals to the right as needed. If the p value is less than .001, please report p < .001. Please note when a value appears in SPSS as .000, it is truly p<.001. If you click on the .000 in the SPSS output you can see the value.
Make sure to write out a formal APA statement of conclusion for each child as the instructions state.
________________________________________
PROBLEM #1
Problem 1: µ = 100 ; s =10
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 1 µ = 100
s =10
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 your 10 APA-style conclusion statements for Problem 1 here.
Which child or children, if any, appeared to come from a significantly different population than the one used in the null hypothesis?
________________________________________
PROBLEM #2
Problem 2: µ = 100 ; s =20
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 2 µ = 100
s =20
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 your 10 APA-style conclusion statements for Problem 2 here.
Which child or children, if any, appeared to come from a significantly different population than the one used in the null hypothesis?
________________________________________
PROBLEM #3
Problem 3: µ = 100 ; s =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: