1.
(a) Suppose we construct a 99% con?dence interval. What are we 99% con?dent about?
(b) Which of the con?dence intervals is wider, 90% or 99%?
(c) In computing a con?dence interval, when do you use the t-distribution and when do you use z, with normal approximation?
(d) How does the sample size affect the width of a con?dence interval?
2. Suppose X is a random sample of size n = 1 from a uniform distribution de?ned on the interval (0, θ). Construct a 98% con?dence interval for θ and interpret.