Answer
The properties are as follows:
1. The t-distribution is symmetric about .
2. For different degrees of freedom, the t-distribution is different.
3. The area under the curve is 1.
4. As the value of t-statistic becomes extremely large or small, the distribution approaches to smaller value but never equals to zero.
5. The area in the tails of the distribution of t is greater than the area in the tails of the distribution of standard normal.
6. As the size of the sample n increases, the distribution of t becomes closer to standard normal distribution.
7. The t-distribution is asymptotic to x-axis, i.e., extended to infinity on either side.
Work Step by Step
Given above.
