STATISTICS: SingleSample TTest
PSYC 354
Homework 8
SingleSample TTest
When submitting this file, be sure the filename includes your full name, course and section. Example: HW8_JohnDoe_354B01
Be sure you have reviewed this module/week’s lesson and presentations along with the practice data analysis before proceeding to the homework exercises. Complete all analyses in SPSS, then copy and paste your output and graphs into your homework document file. Answer any written questions (such as the textbased questions or the APA Participants section) in the appropriate place within the same file.
Part I: Concepts
Questions 1–3; Answer the questions in the spaces provided.
Part I: Questions 1ae
Fill in the highlighted blanks with the best word or words.
1a)
You use a ttest when you know the population ________ but not the population ________.
1b)
The 2 groups compared in the singlesample ttest are the sample and the ________.
1c)
The number of scores that are free to vary when you are estimating a population parameter from a sample is called the ________.
1d)
A researcher reports the results of a singlesample ttest as t(23) = 3.96. The degrees of freedom for this ttest are ______, which means there were ____ total participants in the researcher's sample.
1e)
When your tstatistic in your results exceeds your critical cutoffs, you ________ the null hypothesis.
Part I: Question 23
2)
Explain what each part of the following statistical phrase represents, as it would be reported in APA format: t(19) = 3.15, p = .04
t
Answer
19
Answer
3.15
Answer
P
Answer
.04
Answer
3)
Calculate the degrees of freedom and identify the critical t value for a singlesample t test in each of the following situations:
3a) Twotailed test, N = 9, p = .10
df= Answer
critical t = Answer
3b) Twotailed test, N = 16, p = .05
df= Answer
critical t = Answer
3c) Onetailed test, N = 21, p = .01
df= Answer
critical t = Answer
Part II: SPSS Analysis
Module 8 Exercise File 1
Part II: Questions 12
· Open Module 8 Exercise File 1. This file contatins scores on a measure of acute PTSD for 12 children who live in an area recently affected by a natural disaster. Higher scores indicate more acute PTSD symptomology.
· Using these data, run 2 separate singlesample ttests to compare the sample’s mean acute PTSD score to the following population values:
Population means on PTSD measure for 2 different populations
Population of children in the US: = 12
Population of children in the US who have been victims of abuse : = 16.2
· For each test, paste the output and write a Results section in current APA style
· As demonstrated in the presentations and in the textbooks.
· There will be 2 sets of output and 2 results sections using this data set
· 1 for each test involving a different population mean.
1a)
Population of children in the US: = 12.
Answer: SPSS output of the tTest
1b)
Write a results section in current APA style describing the outcome.
All homework results sections must follow the example given in the SPSS presentation. Results sections are paragraphs and must include the APAformatted statistical statement.
Answer
2a)
Population of children in the US who have been victims of abuse: = 16.2.
Answer: SPSS output of the tTest
2b)
Write a results section in current APA style describing the outcome. See (1b) for details.
Answer
Part III: SPSS Data Entry and Analysis
Data provided below.
MMSE Scores
26
24
29
22
23
24
19
28
28
24
29
28
27
25
30
29
26
Part III: Questions 12
Do adults at risk of Alzheimer’s disease score differently than the general population of adults on a measure of cognitive functioning? A neuropsychologist assesses the cognitive functioning of 17 adults who are atrisk for Alzheimer’s disease using the MiniMental State Examination (MMSE). Higher scores indicate better cognitive functioning. The mean in the general population of healthy adults is 27.5. The data for the participants are shown in the table to the left.
Conduct a singlesample ttest in SPSS to answer the research question.
Create a histogram to display the distribution of the sample.
Write a results section in current APA style.
1a)
Compute a singlesample t test.
Answer: SPSS output of the tTest
1b)
Create a histogram to display the distribution of this sample.
Answer: SPSS graph
2a)
Write a results section in current APA style describing the outcome. Refer to earlier directions for details of what is expected.
Answer:
Part IV: Question 1a & 1b (NonSPSS)
· Age at onset of dementia was determined in the general population to be = 68.7 and = 2.3.
· Use this information to answer the following:
1a)
Based on the data above, what is the z score for the age of 67?
Answer
Work:
1b)
Using the z table and the z score above, what is the percentile for the age of 67?
Answer
Work:
Part IV: Question 2a2b (NonSPSS)
For each of the following scenarios, compute the effect size and state whether it is approximately small, medium, or large according to Cohen’s conventions.
2a)
Participants in an inpatient study of treatment for OCD complete an anxious feelings inventory which is then compared to the general population.
The sample mean is M = 42. The mean in the general population of inpatients on this inventory is = 39.1, and the population standard deviation is = 2.7.
Effect Size:
Answer
Work:
Small/Med/Large:
Answer
2b)
A mood assessment in a sample of 15 gym members has a mean of M = 18. The mean in the general population on this measure is = 16.5 with a standard deviation of = 2.
Effect Size:
Answer
Work:
Small/Med/Large:
Answer
Submit Homework 8 by 11:59 p.m. (ET) on Friday of Module/Week 8. Remember to name file appropriately.
Done!
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