Test for mean of a normal sample with unknown variance.
Perform a T-test of the null hypothesis mean (x) ==
m
for a sample x from a normal distribution with unknown
mean and unknown std deviation. Under the null, the test statistic
t has a Student’s t distribution. The default value of
m is 0.
If the second argument y is a vector, a paired-t test of the
hypothesis mean (x) = mean (y)
is performed.
Name-Value pair arguments can be used to set various options.
"alpha"
can be used to specify the significance level
of the test (the default value is 0.05). "tail"
, can be used
to select the desired alternative hypotheses. If the value is
"both"
(default) the null is tested against the two-sided
alternative mean (x) != m
.
If it is "right"
the one-sided alternative mean (x)
> m
is considered. Similarly for "left"
, the one-sided
alternative mean (x) < m
is considered.
When argument x is a matrix, "dim"
can be used to selection
the dimension over which to perform the test. (The default is the
first non-singleton dimension).
If h is 0 the null hypothesis is accepted, if it is 1 the null hypothesis is rejected. The p-value of the test is returned in pval. A 100(1-alpha)% confidence interval is returned in ci. stats is a structure containing the value of the test statistic (tstat), the degrees of freedom (df) and the sample standard deviation (sd).
Package: statistics