Final answer:
The value of 's' that corresponds to P(t) = 0.99 with df = 9 is approximately 2.326, according to the t-distribution. This is usually found using a statistical calculator or a t-distribution table and is not directly represented by any of the answer choices provided.
Step-by-step explanation:
To find the value of 's' such that P(t) = 0.99 with df = 9, we need to look up a t-distribution table or use a calculator with statistical functions. When looking for a specific probability in a t-distribution, we are typically finding a t-score that corresponds to the cumulative area up to that point.
In this case, we want the t-score, often denoted as tα, such that the area to the left under the curve is 0.99. Using a statistical calculator or a t-distribution table, we find that the t-score that corresponds to a cumulative probability of 0.99 with 9 degrees of freedom (df = 9) is approximately 2.326. This value is not directly given in the provided answer choices, but the concept needs to be understood for solving such problems.
To confirm our findings, we could use the calculator function for inverse t-distribution (generally denoted as invT or T-1 on calculators) and input the variables accordingly. However, the t-scores provided as answer choices do not directly relate to any standard t-distribution values, indicating that perhaps the question has been framed incorrectly or there's a misunderstanding of the question's requirements.