Determine the t-value in each of the cases. LOADING... Click the icon to view th

Question

Determine the t-value in each of the cases. LOADING... 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 0.010.01 with 1212 degrees of freedom. nothing (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.050.05 with 88 degrees of freedom. nothing (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.0050.005 with 77 degrees of freedom. [Hint: Use symmetry.] nothing (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 5050% confidence. Assume 88 degrees of freedom. nothing (Round to three decimal places as needed.)

Explanation / Answer

(a)

Area in the right tail is 0.01

Degree of freedom = 12

Using t-table, t-value such that the area in the right tail is 0.01 with 12 degrees of freedom is 2.681

(b)

Area in the right tail is 0.05

Degree of freedom = 8

Using t-table, t-value such that the area in the right tail is 0.05 with 8 degrees of freedom is 1.860

(c)

Area in the left tail is 0.005

Degree of freedom = 7

Using t-table, t-value such that the area in the right tail is 0.005 with 7 degrees of freedom is -3.499

(d)

Confidence level = 50% = 0.5

Area in the left tail = Area in the right tail = 0.5/2 = 0.25

Degree of freedom = 8

Using t-table, t-value such that the area in the left tail is 0.25 with 8 degrees of freedom is -0.706

Using t-table, t-value such that the area in the right tail is 0.25 with 8 degrees of freedom is 0.706

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