Question: Consider a random-effects model for the singlefactor completely randomized design. (a) Show that a 100(1 α)% confidence interval on the ratio Ï 2 Ï /

Consider a random-effects model for the singlefactor completely randomized design.

(a) Show that a 100(1 ˆ’ α)% confidence interval on the ratio σ2Ï„ / σ2 + σ2Ï„) is

o +o?1+U 1+L¯o²+o?¯ 1+U VI

where L and U are as defined in Exercise 13-74.

(b) Use the results of part (a) to find a 100(1 ˆ’ α)% confidence interval for σ2 / (σ2 +σ2Ï„).

o +o?1+U 1+Lo+o? 1+U VI

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