a) Find the t-value such that the area in the right tail is .005 with 25 degrees

Question

a) Find the t-value such that the area in the right tail is .005 with 25 degrees of freedom.(Round to three decimal places as needed.)

(b) Find the t-value such that the area in the right tail is .01 with 14 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 .05 with 6 degrees of freedom. [Hint: Use symmetry.]

(Round to three decimal places as needed.)

(d) Find the t-value that corresponds to building a 80% confidence interval. Assume 17 degrees of freedom.(Round to three decimal places as needed.)

Explanation / Answer

(A)

From t table, for row df=25 and column one tail probability 0.005 is 2.787.

(B)

From t table, for row df=14 and column one tail probability 0.01 is 2.624.

(C)

From t table, for row df=6 and column one tail probability 0.05 is 1.943. Since we need left tail critical value so required t value is -1.943.

(d)

Here we need t value such that df=17 and area on right tail is 0.10. So requried t value is 1.333.

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