Consider independent samples two ~ 1.5.3 and Y EXP(0₂); i = 1,..., n₁, j = 1, ₂. (a) Show that (0₂/0₁)(X/Ỹ) ~ F(2n₁, 2n₂). (b) Derive a 100y% confidence interval for 0₂/01.

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Consider independent random samples from two exponential distributions, X, ~ EXP(0₁)
and Y~ EXP(0₂); i = 1, . . .‚ n₁, j 1,
www
1₂.
(a) Show that (0₂/0₁)(Ñ/Ỹ) ~ F(2n₁, 2n₂).
(b) Derive a 100y% confidence interval for 0₂/01.
Transcribed Image Text:Consider independent random samples from two exponential distributions, X, ~ EXP(0₁) and Y~ EXP(0₂); i = 1, . . .‚ n₁, j 1, www 1₂. (a) Show that (0₂/0₁)(Ñ/Ỹ) ~ F(2n₁, 2n₂). (b) Derive a 100y% confidence interval for 0₂/01.
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