George Samson is responsible for quality assurance at Integrated Electronics. Integrated Electronics has just signed a contract with a company in China to manufacture a control device that is a component of its manufacturing robotics products. Integrated Electronics wants to be sure that these new, lower-cost components meet its high-quality standards. George has asked you to establish a quality-monitoring process for checking shipments of control device A. The variability of the electrical resistance, measured in ohms, is critical for this device. Manufacturing standards specify a standard deviation of 3.6, and the population distribution of resistance measurements is normal when the components meet the quality specification. The monitoring process requires that a random sample of n = 6 observations be obtained from each shipment of devices and the sample variance be computed. Determine an upper limit for the sample variance such that the probability of exceeding this limit, given a population standard deviation of 3.6, is less than 0.05.
George Samson is responsible for quality assurance at Integrated Electronics. Integrated Electronics has just signed a contract with a company in China to manufacture a control device that is a component of its manufacturing robotics products. Integrated Electronics wants to be sure that these new, lower-cost components meet its high-quality standards. George has asked you to establish a quality-monitoring process for checking shipments of control device A. The variability of the electrical resistance, measured in ohms, is critical for this device. Manufacturing standards specify a standard deviation of 3.6, and the population distribution of resistance measurements is normal when the components meet the quality specification. The monitoring process requires that a random sample of n = 6 observations be obtained from each shipment of devices and the sample variance be computed. Determine an upper limit for the sample variance such that the probability of exceeding this limit, given a population standard deviation of 3.6, is less than 0.05.
Step by step
Solved in 2 steps
