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You use the t statistic when you have a small sample size, or if you don't know the population standard deviation. The T statistic doesn't really tell you much on its own. It's like the word average doesn't mean anything on its own either, without some context. If I say the average was 150, it means nothing.
In statistics, the t-statistic is the ratio of the departure of the estimated value of a parameter from its hypothesized value to its standard error. For example, it is used in estimating the population mean from a sampling distribution of sample means if the population standard deviation is unknown.
The t-value measures the size of the difference relative to the variation in your sample data. Put another way, T is simply the calculated difference represented in units of standard error. The greater the magnitude of T, the greater the evidence against the null hypothesis.
The t test tells you how significant the differences between groups are. In other words it lets you know if those differences (measured in means/averages) could have happened by chance.
The t statistic is the coefficient divided by its standard error. It can be thought of as a measure of the precision with which the regression coefficient is measured. If a coefficient is large compared to its standard error, then it is probably different from 0.
Calculate the T-statistic Divide s by the square root of n, the number of units in the sample: s ÷ (n). Take the value you got from subtracting from x-bar and divide it by the value you got from dividing s by the square root of n: (x-bar —) ÷ (s ÷ [n]).
To run the t-test, arrange your data in columns as seen below. Click on the Data menu, and then choose the Data Analysis tab. You will now see a window listing the various statistical tests that Excel can perform. Scroll down to find the t-test option and click OK.
Z-tests are statistical calculations that can be used to compare population means to a sample's. T-tests are calculations used to test a hypothesis, but they are most useful when we need to determine if there is a statistically significant difference between two independent sample groups.

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