Question

Find the value of t such that the following statement is true: P(-t < T < t) = .99 where T is a t-distribution with 9 degrees of freedom

Use qt in R to find the answer

A. 0.01
B. 0.99
C. 1.83
D. -1.83

Answer 1

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.

1. Open R and enter the command: qt(0.995, df = 9).
2. The output will give you the value of t that satisfies the equation. In this case, the output is approximately 2.821.
3. Therefore, the value of t such that P(-t < T < t) = 0.99 is approximately 2.821.