State whether each of the following related samples t-tests is significant for a two-tailed test at a 0.05 level of significance.
(a)
t(30) = 3.330
Yes, the test is significant.
No, the test is not significant.
(b)
t(15) = 2.541
Yes, the test is significant.
No, the test is not significant.
(c)
t(14) = 2.032
Yes, the test is significant.
No, the test is not significant.
(d)
t(60) = 1.951
Yes, the test is significant.
No, the test is not significant.
Using t
(a)
t(30) = 3.330
P-value = 2 * P(t 30 > 3.330) = 0.0023
Yes, the test is significant.
(b)
t(15) = 2.541
P-value = 2 * P(t 15 > 2.541) = 0.0226
Yes, the test is significant.
(c)
t(14) = 2.032
P-value = 2 * P(t 14 > 2.032) = 0.0616
No, the test is not
significant.
(d)
t(60) = 1.951
P-value = 2 * P(t 60 > 1.951) = 0.0557
No, the test is not significant.
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