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

NormalHypothesis.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 of the hypothesis test given in absolute terms (i.e. 99 percent = 99).

Return Value

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

Remarks

Further Details

Having a sample with mean `u', standard deviation 'd' and size `n' it conducts 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 and H0, Ha represent the null and alternative hypothesis respectively.

See Also

NormalHypothesis Class | Hypothesis Namespace