The student t distribution has mean of t is equal to zero and standard of s is equal to 1. this statement is false. For a normal distribution with mean equal to 0 and standard deviation equal to 1, it is known as standard normal variate. The standard normal variate is denoted by Z. Properties of t-distribution:
- The mean of the distribution is equal to 0.
- Variance = v /( v -2), where v is the degrees of freedom and v > 2
For a large sample size, the t distribution tends to normal. t-distribution has a bell-shaped curve.