Suppose X1,..., Xn are independent normal variables with Xi N(i, 1). The null hypothesis specifies all

Suppose X1,..., Xn are independent normal variables with Xi ∼

N(ξi, 1). The null hypothesis specifies all ξi = 0. Fix an integer k ≥ 1. Suppose ω

specifies that at least k of the Xi have mean at least ξ , where ξ is known and positive.

Determine a maximin test as explicitly as possible.