T-Statistic Calculator

Calculate the t-statistic for a one-sample t-test comparing a sample mean to a hypothesized population mean.

T-Statistic

2.000000

मानक त्रुटि1.0000
स्वतंत्रता की कोटि24
|t|2.000000

T-Statistic vs Sample Mean

सूत्र देखें →

सूत्र

## How to Calculate the T-Statistic ### Formula **t = (x_bar - mu) / (s / sqrt(n))** The t-statistic measures how many standard errors the sample mean is from the hypothesized population mean. It follows a t-distribution with n-1 degrees of freedom. Use the t-test instead of the z-test when the population standard deviation is unknown and estimated by the sample SD.

हल किया गया उदाहरण

Sample mean = 52, hypothesized mean = 50, sample SD = 5, n = 25.

  1. 01SE = 5 / sqrt(25) = 5 / 5 = 1
  2. 02t = (52 - 50) / 1 = 2
  3. 03df = 25 - 1 = 24
  4. 04Compare t = 2 to the t-distribution with 24 df
  5. 05Critical value at alpha=0.05 (two-tailed): approximately 2.064
  6. 06Since |t| = 2 < 2.064, the result is not quite significant at 5% (two-tailed).