Question

On a standardized spatial skills task, it is known that normal people typically score 13. A team of psychologists developed a memory exercise that they administer for seven weeks to participants. The participants are then given the spatial skills task. One of the psychologist hypothesizes that the memory exercise will reduce performance. What can be concluded with an α of 0.01? The performance data are below.

id	task
12 2 3 15 7 6 1 5	12.1 16.2 11.5 10.7 10.3 15.6 12.2 11.9

a) What is the appropriate test statistic?
---Select--- na z-test one-sample t-test independent-samples t-test related-samples t-test
Population:
---Select--- participants using memory exercise spatial skills memory exercise normal people seven weeks
Sample:
---Select--- participants using memory exercise spatial skills memory exercise normal people seven weeks

b) Compute the appropriate test statistic(s) to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

c) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r² =  ;   ---Select--- na trivial effect small effect medium effect large effect

d) Make an interpretation based on the results.

Those that underwent the memory exercise had significantly better spatial skills than normal people.Those that underwent the memory exercise had significantly worse spatial skills than normal people.    Those that underwent the memory exercise did not have significantly different spatial skills than normal people.

Answer 1

mu	13
sd	2.169883144
mu^	12.5625
n	8
alpha	0.05
a)	one sample t-test
b)
population	normal people
sample	participants using memory exercise spatial skills
c)
decision	fail to reject
p-value	0.2932
d)
d	0.2016
magnitude	small
r^2	0.0444
magnitude	small
e)	option C)

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