Consider the following hypothesis test for the mean differen

Consider the following hypothesis test for the mean difference. (Give your answers correct to four decimal places.)

(a) Determine the p-value for H_o: _d = 0 and H_a: _d > 0, with n = 23 and t = 1.99.

(b) Determine the p-value for H_o: _d = 0 and H_a: _d 0, with n = 19 and t = -1.82.

(c) Determine the p-value for H_o: _d = 0 and H_a: _d < 0, with n = 26 and t = -2.58.

(d) Determine the p-value for H_o: _d = 0.75 and H_a: _d > 0.75, with n = 12 and t = 3.47.

Solution

A.

This is a right tailed test.

Using a t table, df = 23 - 1 = 22,

p = 0.029580607

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b.

This is a two tailed test.

Using a t table, df = 19 - 1 = 18,

p = 0.085430146

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c.

This is a left tailed test.

Using a t table, df = 26 - 1 = 25,

p = 0.008072092

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D.

This is a right tailed test.

Using a t table, df = 12 - 1 = 11,

p = 0.002619984