Question

Given a variable that has a t distribution with the specified degrees of freedom, what percentage of the time will its value fall in the indicated region? (Round your answers to one decimal place.)

A) 68.3%
B) 95.0%
C) 99.7%
D) 90.0%

Answer 1

To find the percentage of the time a value falls in a specific region in a t distribution, we need to refer to a t-table or use a calculator. Approximately 95% of the time, the value of the variable will fall within the indicated region.

Step-by-step explanation:

To find the percentage of the time a value falls in a specific region in a t distribution, we need to refer to a t-table or use a calculator. For a given variable with 19 degrees of freedom and a two-sided 95% confidence interval, the t-value is 2.093. This means that approximately 95% of the time, the value of the variable will fall within the indicated region. Therefore, the correct answer is B) 95.0%.