% -*- texinfo -*- % @deftypefn {Function File} {[@var{pval}, @var{z}] =} z_test (@var{x}, @var{m}, @var{v}, @var{alt}) % Perform a Z-test of the null hypothesis @code{mean (@var{x}) == % @var{m}} for a sample @var{x} from a normal distribution with unknown % mean and known variance @var{v}. Under the null, the test statistic % @var{z} follows a standard normal distribution. % % With the optional argument string @var{alt}, the alternative of % interest can be selected. If @var{alt} is @code{'~='} or % @code{'<>'}, the null is tested against the two-sided alternative % @code{mean (@var{x}) ~= @var{m}}. If @var{alt} is @code{'>'}, the % one-sided alternative @code{mean (@var{x}) > @var{m}} is considered. % Similarly for @code{'<'}, the one-sided alternative @code{mean % (@var{x}) < @var{m}} is considered. The default is the two-sided % case. % % The p-value of the test is returned in @var{pval}. % % If no output argument is given, the p-value of the test is displayed % along with some information. % @end deftypefn

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