MTH 240-41H Homework: Homework 9.2 Score: 0.25 of 1 pt %) 9.2.7 Determine the t-

Question

MTH 240-41H Homework: Homework 9.2 Score: 0.25 of 1 pt %) 9.2.7 Determine the t-value in each of the cases. 20118(15 complete) 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 25 degrees of freedom 1.058 (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.10 with 23 degrees of freedom. 1319 (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 30 degrees of freedom. [Hint: Use symmetry] (Round to three decimal places as needed.)

Explanation / Answer

(a)

Here df = 25 and area at right tail is 0.15 so from the t-table the requried t is

t = 1.058

(b)

Here df = 23 and area at right tail is 0.10 so from the t-table the requried t is

t=1.319

(c)

Here df = 30 and area at right tail is 0.10 so from the t-table the t value that has 0.20 area at right tail is 0.854. So by symmetry the requried t is

t=-0.854

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