Question

**A researcher was interested in the relationship between
an average daily time spent on social media (i.e., X variable) and
social anxiety (i.e., Y variable).**

**The data collected on a sample of n =
82 undergraduate students produced the following
results: SS_{x}=
49, SS_{Y}= 36, SP = 11,
M_{X} = 8, M_{Y} =
15.**

A. Is there a significant correlation between an average daily
time spent on social media and social anxiety? Use 2-tailed test,
*p* < .05 to answer this research question.

- Formulate the null and alternative hypothesis.
- Compute the Person correlation, r
- Find the r critical for this study.
- Make a decision about the null hypothesis.
- Write the conclusion and report the Pearson's correlation outcome in the APA style format.

B. Find the regression equation for predicting social anxiety (Y variable) from the average daily time spent on social media (X variable).

Answer #1

A researcher wants to examine the relationship between time
spend on social media (variable X) and loneliness (variable Y) in
young adults. A randomly sample of n = 72 young adults was asked
how much time in average they spend on social media each day and
how lonely day feel on a typical day.
The partial computations of collected data produced the
following results:
SP = 3.5
MX =
5 SSx =
16 MY =
20 SSY=
9
A. Based on these...

A researcher was interested in the relationship between the
reported stress level (variable X) and performance on memory test
(variable Y).
The data collected on a sample of n =
62 undergraduate students produced the following
results: MX = 4, SSx = 30,
MY = 6, SSY= 90, and
SP = - 15
A. Is there a significant correlation between
stress level and memory performance? Assume 2-tailed test,
p < .05. For full credit your answer should
include:
Null and alternative...

A researcher measures the relationship between sleep medication
use (times used per week) and time spent working (in hours per
week). Are they significantly correlated? Conduct a hypothesis test
at the .05 significance level.
Sleep Medication Use
Time Spent Working
Deviation Scores
Sum of Squares
X
Y
X-Mx
Y-MY
(X-Mx)
(Y-MY)
(X-Mx)2
(Y-MY)2
8
18
3
40
6
20
2
32
Mx=
MY =
SSXY=
SSX=
SSY=
Hypotheses:
Critical Value:
r =
Decision:

A researcher measures the relationship between education (in
years) and investment gains (in thousands of dollars). Are they
significantly correlated? Conduct a hypothesis test at the .05
significance level.
Education
Investment Gains
Deviation Scores
Sum of Squares
X
Y
X-Mx
Y-MY
(X-Mx)
(Y-MY)
(X-Mx)2
(Y-MY)2
14
8
12
11
9
10
18
14
Mx=
MY =
SSXY=
SSX=
SSY=
Hypotheses:
Critical Value:
r =
Decision:

1.- A researcher obtains t = 2.25 for a
repeated-measures study using a sample of n = 10
participants. Based on this t value, what is the correct
decision for a two-tailed test?
a.
Reject the null hypothesis with α = .05 but not with
α = .01
b.
Reject the null hypothesis with both α = .05 and
α = .01
c.
Fail to reject the null hypothesis with both α = .05
and α = .01
d.
Cannot...

One researcher claims the national average time spent on social
media is 4 hours per week. A random sample of 404 individuals
showed a sample of 4.2 hours per week. If national standard
deviation is known to be 1.8, test if the true national average is
greater than the researcher’s claim when α=.05.

A researcher records the amount of time (in minutes) that
parent-child pairs spent on social networking sites to test whether
they show any generational differences. From the following findings
reported in APA format, interpret these results.
Parents spent significantly less time on social networking sites
compared to their children
(MD = 42 minutes),
t(29) = 3.225,
p < 0.05,
d = 0.75.
State the research design used (repeated measures or matched
pairs).
-repeated measures design
-matched pairs design
State...

A researcher records the amount of time (in minutes) that
parent-child pairs spent on social networking sites to test whether
they show any generational differences. From the following findings
reported in APA format, interpret these results.
Parents spent significantly less time on social networking sites
compared to their children
(MD = 42 minutes),
t(29) = 3.343,
p < 0.05,
d = 0.61.
State the research design used (repeated measures or matched
pairs).
repeated measures designmatched pairs
design
State the sample...

Because of the popularity of social media among college
students, there is a great deal of interest in the relation between
Facebook use and academic performance.
To investigate this relation, an extensive study of over 1700
students was conducted at a public university in the northeast. For
one semester the time (in minutes) spent each day on Facebook was
recorded for each student. The students also agreed to allow their
GPA for that semester to be used in the study....

A researcher measures the relationship between the number of
interruptions during a class and time spent "on task" (in minutes).
Answer the following questions based on the results provided.
Number
of
Interruptions
Time Spent
"On Task"
11
18
5
37
9
18
4
31
Part (a)
Compute the Pearson correlation coefficient. (Round your answer
to three decimal places.)
Part (b)
Multiply each measurement of interruptions times 3 and
recalculate the correlation coefficient. (Round your answer to
three decimal places.)
Part...

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