The independent-samples t testResearch Scenario: A forensic psychologist has developed a new program that teaches empathy and po
sitive social skills to youth offenders who are incarcerated for a violent offense. She wants to know whether this new treatment is more effective in increasing empathy than the standard treatment that these youth offenders usually receive. She sets up a treatment group that consists of 8 youth offenders incarcerated for violent offenses who will receive the new treatment. Her control group consists of 8 similar youth offenders who receive the standard treatment only. At the end of treatment, she administers the Basic Empathy Scale (BES; Jolliffe and Farrington, 2006), a 20-item questionnaire where higher scores indicate higher levels of empathy, and records the results in the table below.Using this table, enter the data into a new SPSS data file and run an independent-samples t test to test the claim that violent youth offenders who receive the new treatment will have higher BES scores than violent youth offenders who receive standard treatment. Follow the directions below the table to complete the homework.Language-Based Spatially-based 93 83 77 89 89 72 87 95 78 76 62 63 67 99 90 84 95 931. Paste SPSS output. 2. Write an APA-style Results section based on your analysis. Include your boxplot as an APA-style figure as demonstrated in the APA writing presentation. (Results = 8 pts: Graph = 5 pts)
1 answer:
Answer:
Step-by-step explanation:
Hello!
The researcher developed a treatment to teach social skills to youth offenders. To test if the treatment is effective in increasing empathy compared to the standard treatment she randomly selected a group of 9 offenders and applied the new treatment and to another group of 9 randomly selected youth offenders, she applied the standard treatment. (Note: the data corresponds to two samples of 9 units each, so I've used those sizes to conduct the test)
At the end of the treatment, she administers BES to measure their empathy levels. Her claim is that the offenders that received the new treatment will have higher BES scores than those who received the standard treatment.
1) Using the records obtained for both groups, she intends to conduct an independent t-test to analyze her claim.
X₁: BES results of a youth offender treated with the new treatment.
X₂: BES results of a youth offender treated with the standard treatment.
H₀: μ₁ = μ₂
H₁: μ₁ ≠ μ₂
α:0.05
test statistic
p-value: 0.7517
The p-value is greater than the significance level so the decision is to not reject the null hypothesis. This means that at a 5% significance level you can conclude that there is no difference between the mean BES scores of the youth offenders treated with the new treatment and the mean BES score of the youth offenders treated with the standard treatment. The new treatment doesn't increase the levels of social empathy of the youth offenders.
I hope this helps
(Box plot in attachment)
You might be interested in
Answer:
Step-by-step explanation:
As the statement is ‘‘if and only if’’ we need to prove two implications
is surjective implies there exists a function
such that
.
- If there exists a function
Let us start by the first implication.
Our hypothesis is that the function is surjective. From this we know that for every
there exist, at least, one
such that
.
Now, define the sets . Notice that the set
is the pre-image of the element
. Also, from the fact that
is a function we deduce that
, and because
the sets
are no empty.
From each set choose only one element
, and notice that
.
So, we can define the function as
. It is no difficult to conclude that
. With this we have that
, and the prove is complete.
Now, let us prove the second implication.
We have that there exists a function such that
.
Take an element , then
. Now, write
and notice that
. Also, with this we have that
.
So, for every element we have found that an element
(recall that
) such that
, which is equivalent to the fact that
is surjective. Therefore, the prove is complete.