Find each probability.
(A) $P(T>1.5),df=8$

• A. 0.086
• B. 0.089
• C. 0.084
• D. 0.173

Answer: (A)

Verified step by step guidance

1. Step 1: Understand the problem. We are tasked with finding the probability P(T > 1.5) for a t-distribution with degrees of freedom (df) = 8. This involves using the t-distribution table or a statistical software/calculator.
2. Step 2: Recall the properties of the t-distribution. The t-distribution is symmetric and centered at 0. The area under the curve represents probabilities, and we are looking for the area to the right of T = 1.5.
3. Step 3: Use the t-distribution table or statistical software. Locate the row corresponding to df = 8 in the t-distribution table. Find the value of T = 1.5 and determine the area to the right of this value. If using software, input the parameters (T = 1.5, df = 8) to calculate P(T > 1.5).
4. Step 4: If using the t-distribution table, note that the table typically provides the cumulative probability (area to the left of T). To find P(T > 1.5), subtract the cumulative probability from 1: P(T > 1.5) = 1 - P(T ≤ 1.5).
5. Step 5: Compare the calculated probability with the given answer choices (0.086, 0.089, 0.084, 0.173) to identify the correct answer.