One Sample Mean Formula

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One Sample Mean Formula. The single sample t method tests a null hypothesis that the population mean is equal to a specified value. For example, you might want to know how your sample mean compares to the .

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The first plot below compares the standard normal distribution (i.e., z distribution) to a t distribution. Note that the formula for the one‐sample t‐test for a population mean is the same as the z‐test, except that the t‐test substitutes the sample standard . The one sample t test compares a sample mean to a hypothesized value for the population mean to determine whether the two means are .

The calculation of a confidence interval for a sample mean.

The one sample t test compares the mean of your sample data to a known value. The one sample t test compares a sample mean to a hypothesized value for the population mean to determine whether the two means are . The one sample t test compares the mean of your sample data to a known value. Note that the formula for the one‐sample t‐test for a population mean is the same as the z‐test, except that the t‐test substitutes the sample standard .