In: Statistics and Probability
Dr. Stambaugh hypothesizes that a novel anxiety drug will affect
memory. To examine this, the drug is administered to a random
sample of 23 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 47 seconds. Normal rats have an average
completion time of 44 seconds with a standard deviation of 14
seconds. What can Dr. Stambaugh conclude with α = 0.01?
a) State the appropiate appropriate test statistic
(na, z-test, one sample t test, independent- samples t test,
related sample t test), population (normal rats, memory, trained
rats, time to complete maze, the maze), and sample (normal rats,
memory, trained rats, time to complete maze, the maze).
.
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.)
critical value = ; test statistic =
Decision: ---Select--- Reject H0 Fail to reject H0
c) If appropriate, compute the CI. If not
appropriate, input "na" for both spaces below.
[ , ]
d) 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 , or large effect
r2 = ; ---Select--- na trivial
effect small effect medium effect large effect
Now, Make an interpretation based on the
results.
Rats on the anxiety drug were significantly slower completing the maze.
Rats on the anxiety drug were significantly quicker completing the maze. T
he anxiety drug did not affect rats in completing the maze.
a)
z-test since population SD is known
population: normal rats
and sample trained rats
(b)
(c)
(d)
The effect size is small.
r2 is not appropriate here.
The anxiety drug did not affect rats in completing the maze.