Question 3 of 15, Step 1 of 1 $4 / 24$ Correct Find the value of $t_{0.010}$ for a $t$-distribution with 55 degrees of freedom. Round your answer to three decimal places, if necessary. Answer \[ t_{0.010}= \]
Solution
Step 1 ：The question is asking for the t-value for a t-distribution with 55 degrees of freedom at a significance level of 0.010. This is a statistical concept and can be calculated using statistical methods. The function to use is the percent point function, which is the inverse of the cumulative distribution function. It takes in a percentile and returns the x value at that percentile. In this case, we want the x value at the 0.010 percentile for a t-distribution with 55 degrees of freedom.
Step 2 ：The calculation has returned a t-value of -2.3960810458836654. This is the t-value at the 0.010 percentile for a t-distribution with 55 degrees of freedom. However, the question asks for the answer to be rounded to three decimal places. Therefore, the final answer should be -2.396.
Step 3 ：Final Answer: \(t_{0.010} = \boxed{-2.396}\)
