Question

Determine the t-value in each of the cases.

A.) Find the t-value such that the area in the right tail is 0,005 with 16 degrees of freedom. (Round to three decimal places as needed).

B.) Find the t-value such that the area in the right tail is 0.05 with 11 degrees of freedom. (Round to three decimal places as needed.)

C.) Find the t-value such that the area left of the t-value is 0.20 with 19 degrees of freedom. (Hint: Use symmetry).

(Round to three decimal places as needed).

D.) Find the critical t-value that corresponds to 95% confidence. Assume 21 degrees of freedom.

(Round to three decimal places as needed).

Answer #1

A) We want to find the t-value such that the area in the right tail is 0.005 with 16 degrees of freedom.

Excel command : TINV(2 * 0.005, 16) = 2.921

=> Critical value is **2.921**

B.) We want to find the t-value such that the area in the right tail is 0.05 with 11 degrees of freedom.

Excel command : TINV(2 * 0.05, 11) = 1.796

=> Critical value is **1.796**

C.) We want to find the t-value such that the area left of the t-value is 0.20 with 19 degrees of freedom.

Excel command : TINV(2 * 0.20, 19) = 0.861

since, we are given area to the left of the t-value is given, the required critical value is negative.

=> Critical value is **-0.861**

D.) We want to find the critical t-value that corresponds to 95% confidence. Assume 21 degrees of freedom.

Excel command : TINV(0.05, 21) = 2.080

=> Critical value are **-2.080, 2.080**

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