Question

In: Statistics and Probability

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

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 0.25 with 6 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 0.025 with 19 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 0.01 with 19 degrees of freedom.​ [Hint: Use​ symmetry.] nothing ​(Round to three decimal places as​ needed.) ​

(d) Find the critical​ t-value that corresponds to 60​% confidence. Assume 13 degrees of freedom. nothing ​(Round to three decimal places as​ needed.)

Solutions

Expert Solution

a.)t-value such that the area in the right tail is 0.25 with 6 degrees of freedom

ans: 0.717

b.))t-value such that the area in the right tail is 0.025 with 19 degrees of freedom.

ans: 2.093

c.)

t-value such that the area left of the​ t-value is 0.01 with 19 degrees of freedom.

ans: 2.539

d.)

critical​ t-value that corresponds to 60​% confidence.

ans: 0.870 (use =TINV(0.4,13) in excel)


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