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Manufacturing and Product Development
In early 2013 there was a worldwide glut of solar panels. This forced prices down and made this form of energy production affordable to many more people. This oversupply of solar panels may have caused some manufacturers to cut corners. Sainty Solar is a leading producer and claims the proportion of its solar panels that are defective is 0.02. Solar Solutions, a leading installer, receives a shipment of 50,000 solar panels. Before accepting the entire lot, Solar Solutions selects a random sample of 25 panels and thoroughly tests each one. If four or more panels are found to be defective, the entire shipment will be sent back. Otherwise the shipment will be accepted.
a. Suppose the claim is true: The actual proportion of defectives is p 5 0.02. What is the probability that the shipment will be rejected? (This is one type of error probability. The company would be making a mistake if this event occurred. It would be rejecting the shipment when the proportion of defectives is as claimed.)
b. Suppose the actual proportion of defectives is p = 0.05. What is the probability that the shipment will be accepted? (This is another type of error probability. In this case, the company would also be making a mistake. It would be accepting the shipment when the proportion of defectives is too high.)
c. Suppose the actual proportion of defectives is p = 0.07. What is the probability that the shipment will be accepted?
Construct a histogram for these data. The component lifetimes are supposed to be exponentially distributed. Does this seem like a reasonable assumption? Explain. Estimate the parameter of the exponential distribution and explain what it means.
an airline has an advertisement that states ...our passengers always receive their bags within 20 minutes after the
jacks game preserve is stocked with 30 moose 25 elk and 45 deer. five years later a sample of animals yields 90 moose
a. Fit a two-region regression tree. What is the first split point based on age? What is SSE for this two-region tree? b. Find the second split point given the two region tree in part (a). What is SSE for the resulting three-region tree?
Johnson (1973) studied several different managerial aspects of university associated schools of nursing. Among the data she collected were the "extent of agreement (between the dean and the faculty) on the responsibilities for decision making" and..
What is the probability that a particular driver had exactly two speeding violations?
As part of a study,investigators wanted to assess the accuracy of self reported smoking status. Participants are asked whether they currently smoke or not. In addition, laboratory tests are performed on hair samples to determine presence or absence o..
1. Let X., X2 , • • • , X11 be a random sample from a Poisson distribution with mean 0. Find the unbiased minimum variance estimator of 02.
suppose that two populations have the same variance sigma2 but are of different finite sizes. population one has size
Random variable with mean of 10 and standard deviation of 2.4. Over the course of the next year, what is the probability that you average more than 11 games a month?
parking at a large university has become a very big problem. university administrators are interested in determining
Which of the following statistical inference procedure should we use?
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