Question

For questions 1 through 3 state the proper t-test (one
sample, paired samples, independent samples) that should be used to
evaluate the research question: (*Just state the test)

1) A developmental psychologist wants to determine if a recently created computer training program can increase the working memory ability of high-school students. A sample of 40 students are given the reverse digit span test at the beginning of the school year and then again after 4 weeks of training. Are there significant changes from pre- to -post?

2) A representative from Pepsi believes that Pepsi is a better testing soda than Coca-Cola and wants to test this officially. At an FAU tailgate 40 students are invited to participate in a taste testing. Twenty students are asked to rate how much they like Pepsi on a scale of 1-10 and the other 20 are asked to rate how much they like coca cola? Is the mean score significantly higher for the Pepsi group or the Coca-Cola group?

3) The national average GRE score on the math section
is a 136. A graduate coordinator would like to determine if a
sample of 20 students who applied to graduate school at FAU score
significantly different from average.

Complete an independent samples t-test for the
following example: Are the exam scores higher for group 1
(Freshman) compared to group 2 (Sophomores). Each group contains 30
students.

Group 1: Mean score 94, variance of 100

Group 2: Mean score 98, variance of 110

4a. Provide the standard deviation of the distribution
of differences between means

4b. Provide the t-score and critical t-value

4c. Are the exam scores significantly different
between groups?

Answer #1

1

It is paired t test. The scores digit span test is taken before and after the training session.

Hence it is paired t test

2.

Independent samples. Rating of two different drinks Pepsi an Coca cola are compared.

Two samples are being compared.

3.

It is one sample test. The hypothesis to be tested if the mean average GRE score on the math section is 136 or not

4.

In the following studies, state whether you would use a one
sample t test, an independent sample t test or a paired sample t
test.
A study examining whether there were differences in exercise
preference between men and women.
A blind taste test to determine preference of Pepsi vs Coca
Cola.
A study to determine if a class of middle school aged children
had higher than normal BMI’s (normal = 25)
A study to determine if IV Tylenol was more...

1. For each study design below, choose whether it is a one
sample T, an independent T, or a repeated measures T.
a. A gym class at a private school takes a fitness test and
their scores are compared with a fitness test of different students
at a public school.
b. Students taking Research One are tested on their research
knowledge at the start of the term and again at the end of the
term.
c. The average income for...

Assume you are conducting a 2 independent samples t-test with
the following information
SAMPLE 1
SAMPLE 2
SAMPLE SIZE (n)
30
25
SAMPLE MEAN
42
39
The pooled estimate of the common variance is 18.
What is the value of the test statistic, tc ? Include
2 decimal places in your answer.

Independent Samples T-TEST
Two rival schools, West Ridge College and East Ridge College,
each claim to have a better microbiology program than the
other. The microbiology students at both schools take
the same national exam at the end of the year. Although
West Ridge College gets a higher mean score, the East Ridge
College’s microbiology professor claims that the difference in
scores is too small to be statistically
significant. Here is the data
West Ridge College: Mean or =
85.8; 12.8; = 16
East Ridge College: Mean or =...

discuss the differences between a one-sample z-test, one-sample
t-test, the independent samples t-test and the dependent samples
t-test. Specifically, under what circumstances would you conduct
each test and what type of information comes from a known/defined
population versus your sample data?

HW 6: z-test, t-test for independent samples, t-test for related
samples, 1-way ANOVA
Researchers wanted to explore different treatment methods to
effect memory skills in high school freshmen. Subjects were given a
memory test (under multiple conditions) these were the results:
Group 1
10, 8, 9, 11,
8, 9, 7, 6,
9, 8
Group 2
12, 10,
11, 9, 13, 8, 9, 12, 11, 11
Group 3
10, 9, 10, 9, 11,
8, 7, 9, 10, 11...

1. A researcher is comparing scores from two treatment groups
using independent samples t test. Use a Hartley’s
F-max test to examine this assumption (each group has 6
participants, s2 in group 1 is 20, and s2 in
group 2 is 15, set alpha level at .05). Also, how should this
researcher estimate the standard error in the independent samples
t test?

E. Using the same data, assuming that they are independent
sample and not paired. Using SPSS, the outcome of the data analysis
as follow.
Independent Samples Test
Levene’s Test for equality of variances
t-test for equality of means
95% Confidence Interval of the difference
F
Sig.
t
df
Sig.(2-tailed)
Mean Difference
Std. Error Difference
Lower
Upper
Test score
Equal variances assumed
0.153
0.700
1.215
18
.240
5.200
4.280
-3.793
14.193
Equal variances not assumed
1.215
17.694
.240
5.200
4.280
-3.804...

Question 3: Independent-Samples t-Test
Group
Statistics
type of school
N
Mean
Std. Deviation
Std. Error Mean
reading score
public
168
51.8452
10.42279
.80414
private
32
54.2500
9.19677
1.62578
Independent
Samples Test
Levene's Test for
Equality of Variances
t-test for Equality of
Means
F
Sig.
t
df
Sig. (2-tailed)
Mean Difference
Std. Error
Difference
95% Confidence
Interval of the Difference
Lower
Upper
reading score
Equal variances
assumed
.564
.453
-1.217
198
.225
-2.40476
1.97519
-6.29986
1.49034
Equal variances not
assumed
-1.326...

An independent-samples t test is performed on the
samples below:
Sample 1: M = 24.1, s2 = 32.02,
n = 10
Sample 2: M = 19.4, s2 = 44.46,
n = 10
a.)Calculate the standard error for the t test
(sM1-M2). (Round to 4 decimal
places.)
b.)Calculate the degrees of freedom for the t test.
c.)Find the critical value of t with two tails and
alpha = 0.05. (Keep 3 decimal places.)
d.)Calculate the t test. (Round answer to two decimal
places.)

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