WebCab Probability and Statistics Web Services for .NET v3.3 Demo

StudentHypothesis.SideMean Method 

Performs one-sided hypothesis testing for the mean.

public bool SideMean(
   bool greater,
   double claimedMean,
   double mean,
   double standardDeviation,
   int size,
   double significanceLevel
);

Parameters

greater
The side on which the test will be performed.
claimedMean
The claimed mean.
mean
The sample mean.
standardDeviation
The standard deviation.
size
The sample size.
significanceLevel
The confident level.

Return Value

boolean true if the null hypothesis (H0) cannot be rejected, false if the null hypothesis can be rejected

Remarks

Further Explanation

Given a sample where the mean `u', standard deviation `d' and size `n' is known we can conduct the following statistical test:

            		H0: u >= h
            		Ha: u < h   if 'greater' is true
             or
            		H0: u <= h
            		Ha: u > h if 'greater' is false
at 's%' significance level, where 'h' is the claimed mean.

See Also

StudentHypothesis Class | Hypothesis Namespace