3.6.10. Suppose F has an F-distribution with parameters ri 5 and r2 = 10. Using only 95th percentiles of F-distributions, find a and b so that P(F

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3.6.10. Suppose F has an F-distribution with parameters ri 5 and r2 10.
Using only 95th percentiles of F-distributions, find a and b so that P(F < a) = 0.05
and P(F <b) = 0.95, and, accordingly, P(a < F < b) = 0.90.
Hint: Write P(F <a) = P(1/F > 1/a) = 1 - P(1/F < 1/a), and use the result
of Exercise 3.6.9 and R.
Transcribed Image Text:3.6.10. Suppose F has an F-distribution with parameters ri 5 and r2 10. Using only 95th percentiles of F-distributions, find a and b so that P(F < a) = 0.05 and P(F <b) = 0.95, and, accordingly, P(a < F < b) = 0.90. Hint: Write P(F <a) = P(1/F > 1/a) = 1 - P(1/F < 1/a), and use the result of Exercise 3.6.9 and R.
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