Find the value x for which: (Use Table 4). (Round your answers to 2 decimal places.)
x | ||
a. | P(F_{(6,15)} ≥ x) = 0.025 | |
b. | P(F_{(6,15)} ≥ x) = 0.050 | |
c. | P(F_{(6,15)} < x) = 0.025 | |
d. | P(F_{(6,15)} < x) = 0.050 | |
*Please note* Two other people have already answer this question for others INCORRECTLY the answers are not 5.27, 3.94, .29, and .36 respectively. |
We want to find, the value of x for f-test with given degrees of freedom and probability.
Using Excel we find, the value of X,
Command: = FINV(probability, df1, df2)
a) P(F(6, 15) >= x ) = 0.025
Command: =FINV(0.025, 6, 15) = 3.41
The value of X = 3.41
b) P(F(6, 15) >= x) = 0.050
Command: = FINV(0.050, 6, 15) = 2.79
The value of X = 2.79
c) P(F(6, 15) < x ) = 0.025
=> 1 - P(F(6, 15) >= x) = 0.025
=> P(F(6, 15) >= x) = 1 - 0.025
=> P(F(6, 15) >= x) = 0.975
Command: = FINV(0.975, 6, 15) = 0.19
The value of X = 0.19
d) P(F(6, 15) < x) = 0.050
=> 1 - P(F(6, 15) >= x) = 0.050
=> P(F(6, 15) >= x) = 0.950
Command: = FINV(0.950, 6, 15) = 0.25
The value of X = 0.25
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