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:: Home ::Six Sigma ::SIX SIGMA GLOSSARY: One Sample t-Test :: CURRENT STUDENTS LOGIN

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One Sample t-Test
 

The One Sample t-Test is a hypothesis test used to test the mean of a small sample taken from a population with a normal distribution against a specified value. The hypothesis is:

H0 the population mean equals a specified value
H1 the popular mean is [equal to/less than/greater than] a specified value

The test is:

t statistic

where:

sample mean
μ 0 specified value
s sample standard deviation
n sample size

The critical value of the t statistic t0 can be found in t distribution tables, or the p-value can be found using the Excel function:

=TDIST(|t0|, ν , Tails)

The number of degrees of freedom 'ν ' is n - 1, the number of tails is 1 for a one sided test and 2 for a two sided test.

The t-test requires that the population conforms to a normal distribution.

 

Analytical and descriptive statistics are covered in the MiC Quality online course Primer in Statistics.

Try out our courses by taking the first module of the Primer in Statistics free of charge.

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