A CI is desired for the true average stray-load loss u (watts) for a certain type of induction motor when the line current is held at 10 amps for a speed of 1500 rpm. Assum that stray-load loss is normally distributed with o = 2.1. (Round your answers to two decimal places.) (a) Compute a 95% CI for u when n = 25 and x = 59.7. 58.88 60.52 watts (b) Compute a 95% CI for u when n = 100 and x = 59.7. 59.29 60.11 watts (c) Compute a 99% CI for u when n = 100 and x = 59.7. 59.16 60.24 watts (d) Compute an 82% CI for u when n = 100 and x = 59.7. 59.42 59.98 watts (e) How large must n be if the width of the 99% interval for u is to be 1.0? (Round your answer up to the nearest whole number.) n = 30
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
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