SU PHE5020 Module 3 Assignment 1

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; σ =10, alpha set at p = .05

Child	Concentration	Z	P	Hypothesis	Error
Child 1
Child 2
Child 3
Child 4
Child 5
Child 6
Child 7
Child 8
Child 9
Child 10

 

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.

Problem1	µ = 100
	σ =10
Child	Concentration	z score	p  value
1	75	– 2.50	0.006
2	81	-1.90	0.029
3	89	-1.10	0.136
4	99	-0.10	0.460
5	115	1.50	0.067
6	127	2.70	0.003
7	138	3.80	< 0.001
8	139	3.90	< 0.001
9	142	4.20	< 0.001
10	148	4.80	< 0.001

Add your 10 APA-style conclusion statements for Problem 1 here.

Based on the Z scores and p values in the ten children, there was sufficient evidence to support the hypothesis that the therapy B improved concentration in seven out of the ten children. However, there was no sufficient evidence to support concentration improvement in three children after the application of therapy B. Consequently, Child 3, Child 4, and Child 5 appear to have come from a different population since they showed insignificant result outcome as opposed to the other seven children with good and significant concentration improvement after the application of Therapy B.

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 ; σ =20, alpha set at p = .05

Child	Concentration	Z	P	Hypothesis	Error
Child 1
Child 2
Child 3
Child 4
Child 5
Child 6
Child 7
Child 8
Child 9
Child 10

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.

Problem2	µ = 100
	σ =20
Child	Concentration	z score	p  value
1	75	-1.25	0.106
2	81	-0.95	0.171
3	89	-0.55	0.291
4	99	-0.05	0.480
5	115	0.75	0.227
6	127	1.35	0.089
7	138	1.90	0.029
8	139	1.95	0.026
9	142	2.10	0.018
10	148	2.40	0.008

Add your 10 APA-style conclusion statements for Problem 2 here.

Based on the Z scores and p values in the ten children, there was sufficient evidence to support the hypothesis that the therapy B improved concentration in six out of the ten children. However, there was no sufficient evidence to support concentration improvement in four children after the application of therapy B. Consequently, Child 7, Child 8, Child 9, and Child 10 appear to have come from a different population since they showed insignificant result outcome as opposed to the other six children with good and significant concentration improvement after the application of Therapy B.

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 ; σ =30, alpha set at p = .05

Child	Concentration	Z	P	Hypothesis	Error
Child 1
Child 2
Child 3
Child 4
Child 5
Child 6
Child 7
Child 8
Child 9
Child 10

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.

Problem3	µ = 100
	σ =30
Child	Concentration	z score	p  value
1	75	-0.83	0.203
2	81	-0.63	0.264
3	89	-0.37	0.356
4	99	-0.03	0.488
5	115	0.50	0.309
6	127	0.90	0.184
7	138	1.27	0.102
8	139	1.30	0.097
9	142	1.40	0.081
10	148	1.60	0.055

Add your 10 APA-style conclusion statements for Problem 3 here.

Based on the Z scores and p values in the ten children, there was no sufficient evidence to support concentration improvement in any of the children after the application of therapy B. Consequently, all the children appear to have come from the same population since they showed insignificant result outcome.

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, alpha set at p = .05

Child	Concentration	Z	P	Hypothesis	Error
Child 1
Child 2
Child 3
Child 4
Child 5
Child 6
Child 7
Child 8
Child 9
Child 10

 

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.

Problem4	µ = 100
	σ =40
Child	Concentration	z score	p  value
1	75	-0.63	0.264
2	81	-0.48	0.316
3	89	-0.28	0.390
4	99	-0.03	0.488
5	115	0.38	0.352
6	127	0.68	0.248
7	138	0.95	0.171
8	139	0.98	0.164
9	142	1.05	0.147
10	148	1.20	0.115

Add your 10 APA-style conclusion statements for Problem 4 here.

Based on the Z scores and p values in the ten children, there was no sufficient evidence to support concentration improvement in any of the children after the application of therapy B. Consequently, all the children appear to have come from the same population since they showed insignificant result outcome.

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?