Let y1 and y2 be independent and identically distributed with a uniform distribution over the interval (θ, θ + 1). for testing h0 : θ = 0 versus ha : θ > 0, we have two competing tests: test 1: reject h0 if y1 > .95. test 2: reject h0 if y1 + y2 > c. find the value of c so that test 2 has the same value for α as test 1. [hint: in example 6.3, we derived the density and distribution function of the sum of two independent random variables that are uniformly distributed on the interval (0, 1).]