For each of the following t values indicate whether the t is

For each of the following t values, indicate whether the t is statistically significant for a two-tailed test, at the specified alphas:

t = 2.90, df = 25, = 0.01

t = 2.00, dr = 25, = 0.05

t = 5.52, df = 10, = 0.01

t = 2.02, df = 20, = 0.05

Solution

a)

Here, using a table/technology

tcrit = +/- 2.787435814

As 2.90 > 2.787435814, t is statistically significant.

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b)

Here, using a table/technology

tcrit = +/- 2.059538553

As 2.00 < 2.059538553, t is NOT statistically significant.

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c)

Here, using a table/technology

tcrit = +/- 3.169272673

As 5.52 > 3.169272673, t is statistically significant.

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d)

Here, using a table/technology

tcrit = +/- 2.085963447

As 2.02 < 2.085963447, t is NOT statistically significant.