A CI is desired for the true average stray-load loss μ (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 stray load loss is normally distributed with or 𝝈 = 3.0.
a. Compute a 95% CI for μ when n = 25 and x = 58.3.
b. Compute a 95% CI for μ when n = 100 and x = 58.3.
c. Compute a 99% CI for u when n = 100 and x = 58.3.
d. Compute an 82% CI for μ when n = 100 and 58.3.
e. How large n must be if the width of the 99% interval for μ is to be 1.0?
The Solution