Prob. 3 Consider a process in which the applied measured voltage has aknown true

Question

Prob. 3 Consider a process in which the applied measured voltage has aknown true mean of 150 V with true variance of 400 V2. (a) If an engineer takes one measurement at random, determinethe probability that this measurement would indicate a value between 120 and 160 V. (b) If an engineer takes 10 measurements at random, determinethe probability that this sample would have a mean value (average of the 10 measurements) lower than140 V. (c) Determine the number of measurements that would berequired to provide a confidence interval of 5 V in the mean (average of the measurements) at P = 90%. Prob. 3 Consider a process in which the applied measured voltage has aknown true mean of 150 V with true variance of 400 V2. (a) If an engineer takes one measurement at random, determinethe probability that this measurement would indicate a value between 120 and 160 V. (b) If an engineer takes 10 measurements at random, determinethe probability that this sample would have a mean value (average of the 10 measurements) lower than140 V. (c) Determine the number of measurements that would berequired to provide a confidence interval of 5 V in the mean (average of the measurements) at P = 90%.

Explanation / Answer

Given =150, ^2=400 (a) P(120

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