Questions: At distribution with 3 degrees of freedom is graphed below. The region under the curve to the right of (t0.95) is shaded. The area of this region is 0.95 Find the value of (t0.95). Round your answer to three decimal places. (t0.95=[)

At distribution with 3 degrees of freedom is graphed below. The region under the curve to the right of (t0.95) is shaded. The area of this region is 0.95 Find the value of (t0.95). Round your answer to three decimal places. (t0.95=[)
Transcript text: At distribution with 3 degrees of freedom is graphed below. The region under the curve to the right of $t_{0.95}$ is shaded. The area of this region is 0.95 Find the value of $t_{0.95}$. Round your answer to three decimal places. \[ t_{0.95}=[ \]
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Solution

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Solution Steps

Step 1: Identify the given information

The problem involves a t-distribution with 3 degrees of freedom. The area to the right of \( t_{0.05} \) is 0.05.

Step 2: Understand the requirement

We need to find the value of \( t_{0.05} \) for a t-distribution with 3 degrees of freedom, where the area to the right of this value is 0.05.

Step 3: Use the t-distribution table or calculator

To find \( t_{0.05} \) for 3 degrees of freedom, we can use a t-distribution table or a statistical calculator.

Final Answer

The value of \( t_{0.05} \) for 3 degrees of freedom is approximately 2.353.

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