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A certain printer cartridge has demonstrated a mean time usage of 9 hours and a standard deviation of 22 minutes. What time usage guarantee (in hours) should the manufacturer advertise in order to ensure that only 4% of the cartridges fail to meet the guaranteed time usage?
Show that theta~ = u(X) is an unbiased estimator of theta, where u(0) = 1 and u(x) = 0 if x =1,2, ... Compare the MSEs of theta(hat) and theta~ for estimating theta = e^(-m) when m=1 and m=2
Find out the mean to the nearest whole number, for the following list of numbers: 20, 43, 67, 52, 67, 44, 62, 90, 21, 19, 15
Scores on test form normal distribution with mean of µ = 150 and a standard deviation of σ = 25. Mean for sample is M = 158. Compute test statistics (z score) for sample.
Recognizing that the hike to the campsite is a long one, a limit of 35 pounds has been set as the maximum total weight of the items to be carried. Formulate this as a LP problem to maximize the total utility of items carried.
Using the probabilities above what is the expected size of family you draw?
Construct the 90% and 95% interval estimates for the population mean weekly sales.
Engineers hoped to base their decision on re- actions of 50 drivers, but time and budget constraints may force them to cut back to 20. How would this influence the power of the test? Describe.
Recent crime reports indicate that 4.2 motor vehicle thefts occur each minute in the United States. Assume that the distribution of thefts per minute can be approximated by the Poisson probability distribution.
mean is calculated for each sample, then the average distance between M and u would be:
A sample of 84 golfers showed that their average score on a particular golf course was 89.05 with a standard deviation of 3.47.
What sample size must be taken to estimate the average gas price in houston with 99% confidence and max error of 5 cents? Assume population standard deviation of gas prices is 60 cents.
How large of a sample would be necessary if no estimate were available for the proportion that support current policy?
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