How to Find T Value
A t-value is the result of a t-test that is used to examine a statistical hypothesis. There are a variety of tests for statistical hypotheses, and a t-test is most appropriate when the values for the sample population are expected to have an approximately normal distribution. T-values may be calculated from the values of the sample population.
Instructions
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Use the t-value when you don't know the population's standard deviation. The sample size that you use to calculate the t-value may be small as long as it has a relatively normal distribution.
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Derive the mean of a population sample. The sample mean is the sum of all the values of the sample elements divided by the number of sample elements. This can be expressed mathematically as μ = Σ xi/n, where μ is the sample mean, xi is the value of the ith sample elements and n is the number of elements in the sample.
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Determine the standard deviation of the population sample. The standard deviation for a sample is s = ( Σ ( xi - x )2 / ( n - 1 ) ) ^(1/2), where s is the standard deviation of the sample, xi is the value for the ith element of the sample, μ is the sample mean and n is the number of elements in the sample population.
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Calculate the t-value. The t-value may now be calculated as t = (μ - X ) / ( s / n^2), where t is the t-value, μ is the sample's mean, X is the population's mean, s is the population sample's standard deviation and n is the sample population's size.
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References
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