Consider an F distribution with 18 numerator degrees of free

Consider an F distribution with 18 numerator degrees of freedom and 43 denominator degrees of freedom. Compute P (0.92

Solution

(1)

Consider an F distribution with 18 numerator degrees of freedom and 43 denominator degrees of freedom. Compute P (0.92<F<1.02)
Answer: 0.54 - 0.44 = 0.1
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(2)

Consider an F distribution with 47 numerator degrees of freedom and 5 denominator degrees of freedom. Find c such that P (F>c)=0.025
Answer: c = 6.15