Final answer:
To find the value of t such that the statement is true, we need to use the qt function in R.
Step-by-step explanation:
To find the value of t such that the statement is true, we need to use the qt function in R. The statement P(-t < T < t) = 0.99 is asking for the range of values of T that fall within a certain probability, which is 0.99.
We have a t-distribution with 9 degrees of freedom, so we can use the qt function in R with the probability value of 0.995 to find the corresponding t-value.
- Open R and enter the command: qt(0.995, df = 9).
- The output will give you the value of t that satisfies the equation. In this case, the output is approximately 2.821.
- Therefore, the value of t such that P(-t < T < t) = 0.99 is approximately 2.821.