This Question: 1 pt Which of the following is not a characteristic of the t test? Choose the correct answer below. A. The Student t distribution has a mean of t0 and a standard deviation of s -1. O B. The Student t distribution is different for different sample sizes. O c. The O D. The Student t distribution has the same general bell shape as the standard normal distribution t test is robust against a departure from normality

## Answer

**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.