You wish to test the following claim
(H_(a))
at a significance level of
\alpha =0.05
.
H_(0):\mu =84.7
H_(a):\mu <84.7
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size
n=12
with mean
M=82.7
and a standard deviation of
SD=5.8
. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic
=
What is the
p
-value for this sample? (Report answer accurate to four decimal places.)
p
-value
=