- A researcher wants to know whether supplements affect how long
vampires can go without requiring human blood. She took one sample
of vampires (n = 13). Half received a placebo first and
the supplement second, while the other half received the supplement
first and the placebo second. She then recorded how many days the
vampires could go without consuming human blood for each condition.
The goal of the study was to see whether there would be any
difference between supplement and placebo. Conduct the
appropriate t-test for these data (α =0.05) and
calculate a confidence interval (99%) as a measure of effect size.
Assume all assumptions for the test are met. (See table below for
sample data.)
With placebo
|
With supplement
|
D
|
M =10.46
|
M =14.23
|
M =−3.77
|
SS =187.23
|
SS =114.31
|
SS =138.31
|
n =13
|
n =13
|
n =13
|
SD =3.95
|
SD =3.09
|
SD =3.39
|
Given all of this informations, the
researchers obtained a t test statistic of
tobtained =−4.01.
They also found an effect size of a
99% CI[−6.64,−0.9].