Question

Use the t-tables to determine a p-value or a range of p-values for the following test statistics:

n	t	p-value
20	0.874	Answer< 0.0005 0.0005 < p-val < 0.001 0.001 < p-val < 0.005 0.005 < p-val < 0.01 0.01 < p-val < 0.05 0.05 < p-val < 0.1 0.1< p-val < 0.2 0.2< p-val < 0.5
15	1.271	Answer< 0.0005 0.0005 < p-val < 0.001 0.001 < p-val < 0.005 0.005 < p-val < 0.01 0.01 < p-val < 0.05 0.05 < p-val < 0.1 0.1< p-val < 0.2 0.2< p-val < 0.5
10	2.386	Answer< 0.0005 0.0005 < p-val < 0.001 0.001 < p-val < 0.005 0.005 < p-val < 0.01 0.01 < p-val < 0.05 0.05 < p-val < 0.1 0.1< p-val < 0.2 0.2< p-val < 0.5
25	3.104	Answer< 0.0005 0.0005 < p-val < 0.001 0.001 < p-val < 0.005 0.005 < p-val < 0.01 0.01 < p-val < 0.05 0.05 < p-val < 0.1 0.1< p-val < 0.2 0.2< p-val < 0.5

Answer 1

1) df = 20 - 1 = 19

0.861 < 0.874 < 1.066

or, t_0.2 < 0.874 < t_0.15

or, 0.15 < p-value < 0.2

or, 0.1 < p-value < 0.2

2) df = 14

1.076 < 1.271 < 1.345

or, t_0.15 < 1.271 < t_0.1

or, 0.1 < p-value < 0.15

or, 0.1 < p-value < 0.2

3) df = 9

2.262 < 2.386 < 2.821

or, t_0.025 < 2.386 < t_0.01

or, 0.01 < p-value < 0.025

or, 0.01 < p-value < 0.05

4) df = 24

2.797 < 3.104 < 3.467

or, t_0.005 < 3.104 < t_0.001

or, 0.001 < p-value < 0.005