If a sample of size 21 is selected,the value of A for the probability P(t ≥A)= 0.025 is:
A)2.528
B)2.086
C)2.518
D)2.080

Question

Quizplus · Accepted Answer

Since we want to find the value of A such that P(t ≥ A) = 0.025, we need to use the t-distribution with 20 degrees of freedom (sample size minus 1). Using a t-table or a calculator, we can find that the t-value with area 0.025 to the right (i.e., the upper-tail area) and 20 degrees of freedom is approximately 2.086. Therefore, A = 2.086 is the best choice. The other answer choices are not correct t-values for the given probability and degrees of freedom.

If a Sample of Size 21 Is Selected,the Value of a for the Probability