ectricalc has determined that the assembly time for a particular electrical component is rmally distributed with a mean of 20 minutes and a variance of 9 minutes. ) What is the probability that the average assembly time for 15 employees is between and 21? ) How large a sample is needed if we wish to be 99% confident that the assembly time ill be within 1 minute of the true mean?

ectricalc has determined that the assembly time for a particular electrical component is rmally distributed with a mean of 20 minutes and a variance of 9 minutes. ) What is the probability that the average assembly time for 15 employees is between and 21? ) How large a sample is needed if we wish to be 99% confident that the assembly time ill be within 1 minute of the true mean?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of eight ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain.BIG Corporation would like to estimate the mean amount of coffee, μ, dispensed per cup by this machine. BIG will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate μ. Assuming that the standard deviation of cup amounts dispensed by this machine is 0.42 ounces, what is the minimum sample size needed in order for BIG to be 90% confident that its estimate is within 0.07 ounces of μ? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).
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An article in Knee Surgery Sports Traumatology, Arthroscopy, "Effect of provider volume on resource utilization for surgical procedures," (2005, Vol. 13, pp. 273-279) showed a mean time of 116 minutes and a standard deviation of 18 minutes for ACL reconstruction surgery for high-volume hospitals (with more than 300 such surgeries per year). If a high-volume hospital needs to schedule 10 surgeries, what is the mean and variance of the total time to complete these surgeries? Assume the times of the surgeries are independent and normally distributed. Mean = i Variance = i minutes minutes²
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