Question

What is the t-statistic?

Answer 1

ANSWER-

The t-statistic is a measure of the difference between the mean of a sample and the mean of the population, in units of the standard error. It is calculated by taking the difference between the sample mean and the population mean, dividing by the standard error of the mean, and then multiplying by the square root of the sample size.

The formula for the t-statistic is:

t = (sample mean - population mean) / (standard error of the mean)

The t-statistic is used in hypothesis testing to determine whether a sample mean is significantly different from a population mean. The t-distribution is used to calculate the probability (p-value) of observing a t-statistic as extreme as the one obtained from the sample, assuming the null hypothesis is true.

Answer 2

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. It is used in hypothesis testing via Student's t-test. The t-statistic is used in a t-test to determine whether to support or reject the null hypothesis.