A confidence interval (CI) is desired for the true average stray-load loss (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assume that strayload loss is normally distributed with = 3.0. (1). Construct a 95% CI for when = 25 and = 58.3. (10 points) (2). Construct a 95% CI for when = 100 and = 58.3. (10 points) (3). Construct a 99% CI for when = 100 and = 58.3. (10 points) (4). How large must be if the half-width of the 99% interval for is to be 0.5? (10 points)