Questions: Consider the value of t such that 0.025 of the area under the curve is to the left of t. Assuming the degrees of freedom equals 28, determine the t-value. Round your answer to three decimal places.

Consider the value of t such that 0.025 of the area under the curve is to the left of t.
Assuming the degrees of freedom equals 28, determine the t-value. Round your answer to three decimal places.

Transcript text: Consider the value of $t$ such that 0.025 of the area under the curve is to the left of $t$. Step 2 of 2: Assuming the degrees of freedom equals 28, determine the $t$-value. Round your answer to three decimal places.

Solution

Solution Steps

Step 1: Identify the Given Information

The area to the left of $ t $ is 0.025.
Degrees of freedom ($ df $) = 28.

Step 2: Use the t-Distribution Table or Calculator

Look up the $ t $-value corresponding to a left-tail probability of 0.025 with 28 degrees of freedom.
Alternatively, use a statistical calculator or software to find the $ t $-value.

Step 3: Round the Result