Question

in the t-distribution with sample size n = 30, what is the probability that t > 2.500? give answer to 3 decimals.

Explanation:

Step1: Determine degrees of freedom

Degrees of freedom \( df = n - 1 = 30 - 1 = 29 \).

Step2: Use t - distribution table or calculator

We need to find \( P(t > 2.500) \) with \( df = 29 \). Using a t - distribution calculator or table, we can find this probability. For a t - distribution with \( df = 29 \) and \( t = 2.500 \), the one - tailed probability (since we want \( t>2.500 \)) is approximately 0.009.

Answer:

0.009