Write a conclusion about the effects of the different instructions, include the following:   An explanation of the obtained value of the t-test.   Provide a measure of explained variance, and an explanation of it. .   Provide the effect size calculation, and expl

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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More info: sample variance S2=25.111

 

Write a conclusion about the effects of the different instructions, include the following:

 

An explanation of the obtained value of the t-test.

 

Provide a measure of explained variance, and an explanation of it. .

 

Provide the effect size calculation, and explain the size of the effect.

 

The 95% confidence interval and its explanation.

 

Was the homogeneity of variance assumption “violated?” How do you know?

NEW FILE.
DATASET NAME DataSetl WINDOW=FRONT.
T-TEST GROUPS=group (1 2)
/MISSING=ANALYSIS
/VARIABLES=score
/CRITERIA=CI (.95).
T-Test
[DataSetl]
Group Statistics
Std. Error
Mean
difficulty
N.
Mean
Std. Deviation
Score
difficult
10
15.8000
8.63842
2.73171
2.00
10
9.0000
5.01110
1.58465
Independent Samples Test
Levene's Test for Equality of
Variances
t-test for Equality of Means
95% Confidence Interval of the
Difference
Mean
Difference
Std. Error
Difference
Sig.
df
Sig. (2-tailed)
Lower
Upper
Equal variances
7.401
.014
2.153
18
045
6.80000
3.15806
.16517
13.43483
Score
assumed
2.153
14.441
049
6.80000
3.15806
.04599
13.55401
Equal variances not
assumed
Breces cor is ready
Unicode ON H: 1
Transcribed Image Text:NEW FILE. DATASET NAME DataSetl WINDOW=FRONT. T-TEST GROUPS=group (1 2) /MISSING=ANALYSIS /VARIABLES=score /CRITERIA=CI (.95). T-Test [DataSetl] Group Statistics Std. Error Mean difficulty N. Mean Std. Deviation Score difficult 10 15.8000 8.63842 2.73171 2.00 10 9.0000 5.01110 1.58465 Independent Samples Test Levene's Test for Equality of Variances t-test for Equality of Means 95% Confidence Interval of the Difference Mean Difference Std. Error Difference Sig. df Sig. (2-tailed) Lower Upper Equal variances 7.401 .014 2.153 18 045 6.80000 3.15806 .16517 13.43483 Score assumed 2.153 14.441 049 6.80000 3.15806 .04599 13.55401 Equal variances not assumed Breces cor is ready Unicode ON H: 1
A psychologist wants to determine the effect of instructions on
the time required to solve a mechanical puzzle. Each of 20
volunteers is given the same mechanical puzzle to be solved as
rapidly as possible. Before the task, the subjects are randomly
assigned in equal numbers to receive two different sets of
instructions. One group is told that the task is difficult, the other
group is told the task is easy. The score for each subject reflects
the time in minutes required to solve the puzzle. Test the
research using a two-tailed test and a = .05.
Difficult instruction
Easy instruction
5
13
20
6.
7
6.
23
5
30
3
24
9
10
8
20
20
9.
12
12
Transcribed Image Text:A psychologist wants to determine the effect of instructions on the time required to solve a mechanical puzzle. Each of 20 volunteers is given the same mechanical puzzle to be solved as rapidly as possible. Before the task, the subjects are randomly assigned in equal numbers to receive two different sets of instructions. One group is told that the task is difficult, the other group is told the task is easy. The score for each subject reflects the time in minutes required to solve the puzzle. Test the research using a two-tailed test and a = .05. Difficult instruction Easy instruction 5 13 20 6. 7 6. 23 5 30 3 24 9 10 8 20 20 9. 12 12
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