For a Student\'s t distribution with d . f . = 10 and t = 2.990, consider the fo
ID: 3371521 • Letter: F
Question
For a Student's t distribution with
d.f. = 10
and
t = 2.990,
consider the following.
(a) Find an interval containing the corresponding P-value for a two-tailed test.
0.0010 < P-value < 0.010
0.010 < P-value < 0.020
0.020 < P-value < 0.050
0.050 < P-value < 0.100
0.100 < P-value < 0.150
0.150 < P-value < 0.200
0.200 < P-value < 0.250
0.250 < P-value < 0.500
(b) Find an interval containing the corresponding P-value for a right-tailed test.
0.0005 < P-value < 0.005
0.005 < P-value < 0.010
0.010 < P-value < 0.025
0.025 < P-value < 0.050
0.050 < P-value < 0.075
0.075 < P-value < 0.100
0.100 < P-value < 0.125
0.125 < P-value < 0.250
Explanation / Answer
The P-value corresponding to degrees of freedom: 10 is P(T>2.990)
(From t standard tables)
The P-value for a two tailed test is 2*P(T>2.990) = 2*0.0071 =0.0142
The P-value for a right - tailed test is P(T>2.990) = 0.0071
Thus,
For(a) , 0.010 < P-value < 0.020
For (b), 0.005 < P-value <0.010