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The senior management of the electric power utility company let there be light (ltbl) has recently built at considerable expense a state of the art nuclear power plant in Gary Indian. The utility has applied or a start up permit from the environmental protection agency (EPA) which has expressed concern over the potential threat to the ecology of lake Michigan posed by the temperature of the waste water from the plant.
In particular, EPA scientists have established that a power plant's cooling system is working properly when the mean temperature of waste water is 58 degrees Fahrenheit or less. EPA staff believes waste water from LTBS's cooling system does not meet the specification that is they believe waste water from the LTBL cooling system is on average greater than 58 degrees Fahrenheit.
Conduct a hypothesis test. What is the p-value and how much evidence is there to conclude that the power plants cooling system is not working properly.
A textile manufacturer estimates that it produces bolts of cloth with flaws following a Poisson distribution that has an average of one flaw per 200 feet of cloth.
Assume that a lot from product 5% non-conforming is submitted. Using Poisson Distribution compute the approximate probabilities that: the lot will be accepted and still in a reduced inspection.
In a random sample of 35 trading days, the volume of a particular stock is recorded to determine whether the mean volume of the stock changed from its 2007 value of 35.14 million shares.
Evaluate the strength of the relationship by computing the coefficient of determination.
The following data show levels of fertilizer use (lbs) and wheat yield (bushels) on repeated trials on a six acre plot.
Additionally, method of delivery of drug (patch,pill, or nasal mist) was considered. In experiment, there were how many treatments?
Why are you no longer directly comparing sample means? How does using the F test - the analysis of variance (ANOVA) reduce your Type I error rate? What is the difference between a within-groups and a between-groups variance?
Random samples of five hundred units that were selected daily from a manufacturing process produced an overall defective rate of 3.5%. Calculate the lower and upper control limits for a percentage control chart.
Determine if the tires were exceeding the guarantee. At the .05 significant level, it was concluded that the tires are exceeding the manufacturer's guarantee.
Find the probability of a type I error α if the true proportion is p=0.6.
Suppose that that download time is normally distributed with a standard deviation of 0.2 seconds. What is the probability that a download time is less than 1 second?
Assume the reliability of a product is given by an exponential distribution with a mean of 1 year. How long would it take to achieve a 10% failure rate?
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