a t - distribution with 12 degrees of freedom is graphed below. the region under the curve to the right of…

a t - distribution with 12 degrees of freedom is graphed below. the region under the curve to the right of $t_{0.03}$ is shaded. the area of this region is 0.03. find the value of $t_{0.03}$. round your answer to three decimal places.

a t - distribution with 12 degrees of freedom is graphed below. the region under the curve to the right of $t_{0.03}$ is shaded. the area of this region is 0.03. find the value of $t_{0.03}$. round your answer to three decimal places.

Answer

Explanation:

Step1: Use t - distribution table

We use the t - distribution table (or a statistical software/ calculator with t - distribution functionality). The table is usually set up with degrees of freedom and right - tail probabilities.

Step2: Locate values

We have 12 degrees of freedom and a right - tail area (probability) of 0.03. Looking up these values in the t - distribution table or using a calculator (e.g., in R: qt(1 - 0.03,12)).

Answer:

1.906