T-distribution

• 1. Distribution


  Distribution (students +- distribution), continuous distribution when size is small
• Probability of


  t is not known to
• Properties of t-distribution


  • It is bell shaped and symmetrical about the mean
  • The area under t-curve is for 100 ba
  • The mean, median and mode are equal to 0 and are located at the center of the distribution
  • The curve never touches the x-axis
  • The variance is greater than 1
  • It is a Family of curved based on the concept of degrees of Freedom, which is related to sample sizes
• As the sample size increases

  The t-distribution approaches the standard normal distribution
• Degrees of Freedom (df)


  • Number of values after a sample has been used
  • They tell the researcher which specific t-distribution to use when considering a family of t-distributions
• As the sample size increases, the t distribution approaches the standard normal distribution (z).
• The t distribution has a bell shape, but it is flatter than the normal curve due to sampling variability.
• The t distribution is used to estimate the population mean when the sample size is small.