In: Statistics and Probability
Dr. Smith believes that a novel anxiety drug is detrimental to
cognition. To examine this, the drug is administered to a random
sample of 24 trained rats. The rats were then placed in a maze and
timed on how long it took them to complete it. The average
completion time was 44 seconds. Normal rats have a mean completion
time of 45 seconds with a standard deviation of 14 seconds. What
can be concluded with α = 0.05?
a) What is the appropriate test statistic?
---Select--- na z-test one-sample t-test independent-samples t-test
related-samples t-test
b)
Population:
---Select--- time to complete maze cognition trained rats normal
rats the maze
Sample:
---Select--- time to complete maze cognition trained rats normal
rats the maze
c) Obtain/compute the appropriate values to make a
decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses
to help solve the problem.)
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
d) If appropriate, compute the CI. If not
appropriate, input "na" for both spaces below.
[ , ]
e) Compute the corresponding effect size(s) and
indicate magnitude(s).
If not appropriate, input and 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
f) Make an interpretation based on the
results.
Rats on the anxiety drug were significantly slower in completing the maze.Rats on the anxiety drug were significantly quicker in completing the maze. The anxiety drug did not significantly impact the rats in completing the maze.