Questions: Determine the t-value in each of the cases. Click the icon to view the table of areas under the t-distribution. (a) Find the t-value such that the area in the right tail is 0.15 with 10 degrees of freedom. 1.093 (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 26 degrees of freedom. (Round to three decimal places as needed.)

Determine the t-value in each of the cases.
Click the icon to view the table of areas under the t-distribution.
(a) Find the t-value such that the area in the right tail is 0.15 with 10 degrees of freedom.
1.093 (Round to three decimal places as needed.)
(b) Find the t-value such that the area in the right tail is 0.025 with 26 degrees of freedom.
(Round to three decimal places as needed.)

Transcript text: Determine the $t$-value in each of the cases. Click the icon to view the table of areas under the $t$-distribution. (a) Find the $t$-value such that the area in the right tail is 0.15 with 10 degrees of freedom. 1.093 (Round to three decimal places as needed.) (b) Find the $t$-value such that the area in the right tail is 0.025 with 26 degrees of freedom. $\square$ (Round to three decimal places as needed.)

Solution

Solution Steps

Step 1: Identify the area under the curve

Given that the area in the right tail is 0.15, we look for the t-value such that the area under the t-distribution curve to the right of this t-value is 0.15.

Step 2: Use the t-distribution table

Using the t-distribution table or a software function with degrees of freedom 10, we find the t-value.

Final Answer:

The t-value corresponding to an area of 0.15 in the right tail with 10 degrees of freedom is 1.093.

Step 1: Identify the area under the curve

Given that the area in the right tail is 0.025, we look for the t-value such that the area under the t-distribution curve to the right of this t-value is 0.025.

Step 2: Use the t-distribution table

Using the t-distribution table or a software function with degrees of freedom 26, we find the t-value.

Final Answer:

The t-value corresponding to an area of 0.025 in the right tail with 26 degrees of freedom is 2.056.

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