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

Question

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 19 degrees of freedom. 1.066 (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.005 with 9 degrees of freedom 3.250 (Round to three decimal places as needed.) (c) Find the t-value such that the area left of the t-value is 0.02 with 6 degrees of freedom. [Hint: Use symmetry.] 2.612 (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 50% confidence. Assume 13 degrees of freedom. (Round to three decimal places as needed.)

Explanation / Answer

d)

Solution :

Degrees of freedom = 13

The confidence intyerval around the mean is 50% .

You have two tail that are each (50 / 2)% = 25% = 0.25

t0.025,13 = 0.694

Critical t-value = 0.694

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