Updated on February 05, 2024Table of Contents
The t-distribution, also known as Student’s t-distribution, is a probability distribution that describes the sampling distribution of the t-statistic, which is a standardized measure of the difference between a sample mean and the population mean, divided by the sample standard deviation.
The t-distribution is given by the following formula:
t = (x - μ) / sqrt(s/n)
The t-distribution is a special case of the Student’s t-distribution, which is a more general family of probability distributions. The Student’s t-distribution is used when the sample size is large and the population standard deviation is unknown.
What is the t-distribution in statistics?
The t-distribution is a probability distribution used to estimate population parameters when the sample size is small and/or the population standard deviation is unknown.
When do we use the t-distribution?
The t-distribution is used when sample sizes are small (typically under 30) and the population standard deviation is unknown.
What is the t-distribution at 95%?
The 95% t-distribution critical value depends on the degrees of freedom; for a large sample, it approaches 1.96, similar to the z-distribution.
Why is the t-distribution better for small samples?
The t-distribution has heavier tails, which provides a more accurate estimate for smaller samples by accounting for variability more effectively.
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