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Question 1 Produce trucks arrive at the weigh station at the California border at a rate of 3 per hour according to a Poisson distribution. Livestock trucks arrive at that same weigh station at a rate of 2 per hour according to a Poisson distribution. What is the probability that the number of livestock trucks arriving at the weigh station in two hours is less than 3?
Question 2 The fraction nonconforming of assembled parts is under investigation. A completely randomized sample of 150 parts has been tested revealing that 8 are nonconforming. Can it be concluded that the fraction of nonconforming parts is greater than 0.05? Use Type I error of .01. Show ALL work, hypothesis, computations, rationale, and clearly state your conclusion.
Question 3 An average of 10 cars per hour arrive at a single server drive in bank teller. The inter arrival time is distributed exponentially. The average service time for each customer is exponentially distributed with a mean of 4 minutes. What fraction of the time is the server idle?
The lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 5 hours. What percentage of bulbs has lifetimes that lie within 1 standard deviation of the mean on either side?
A sample of 60 students from a large university is taken. The average age in the sample was 22 years with a standard deviation of 6 years.
Using the appropriate statistical procedure on the SPSS, test the between group means for a significant difference.
Sugar packaged by a certain machine has a mean weight of 5lb and a standard deviation of 0.02 lb. For what values of c can the manufacturer of the machinery claim that the sugar packaged by this machine has a weight between 5 - c and 5 + c lb with..
The New York Times reported (L.J> Flynn, Tax Surfing, The New York Times, March 25, 2002, p. C10) that the mean time to download the home page for the internal Revenue Service (IRS) , was 0.8 second. Suppose that the download time was normally di..
Given same values n=20, p=0.6, and x=17, calculate probability of x successes in n independent trails of experiment.
Evaluate the value of population proportion. Develop a 99% confidence interval for population proportion.
Calculate the population mean and compare it to the mean of the sampling distribution.
An average department store sells 350 men's suits per year. The men's suit departments at a particular national chain of stores claim they sell more than the industry average. In 35 of their stores, they sold, on the average, 430 suits per year wi..
Describe the relevant population and the source (e.g. newspaper, TV, radio, internet, etc.). Explain why you do not believe it is accurate.
For the sheet-metal stamping machine in certain factory, the time between failures, X1 has a mean between the failures, of 56 hours and a variance of 16 hours.
The managers of a brokerage firm are interested in finding out if the number of clients a broker brings into the firm affects the sales generated by the broker.
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