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 0.0050 with 22 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 0.010 with 99 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 0.250 with 28 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 30 degrees of freedom. nothing (Round to three decimal places as needed.)

Explanation / Answer

A)

As right tailed area = 0.0050, and df = 22, then using the table, we have

t = 2.819 [ANSWER]

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b)

As right tailed area = 0.010, and df = 99, then using the table, we have

t = 2.365 [ANSWER]

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c)

As left tailed area = 0.250, and df = 28, then using the table, we have, by symmetry we put a - sign,

t = -0.683 [ANSWER]

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d)

At c = 0.60, then the area of the tails is (1-c)/2 = 0.20. At df = 30,

t = 0.854 [ANSWER]

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