Questions: Find t0.75 for T distribution with 13 degrees of freedom. t0.75= (Round the answer to 3 decimal places)

Solution Steps

To find the value of \( t_{0.75} \) for a T-distribution with 13 degrees of freedom, we need to use the inverse cumulative distribution function (CDF) for the T-distribution. This function will give us the t-value corresponding to the cumulative probability of 0.75.

We are tasked with finding \( t_{0.75} \) for a T-distribution with \( df = 13 \) degrees of freedom. This corresponds to the t-value where the cumulative probability is 0.75.

Using the inverse cumulative distribution function for the T-distribution, we find: \[ t_{0.75} \approx 0.6938 \]

Rounding the calculated t-value to three decimal places gives: \[ t_{0.75} \approx 0.694 \]

Final Answer