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1. Short-term rates ?uctuate daily. It may be assumed that the yield for 90-day Treasury bills in early 2007 was approximately normally distributed with mean 4.92% and standard deviation 0.3%.12 Find a value such that 95% of the time during that period the yield of 90-day T-bills was below this value.
2. In quality-control projects, engineers use charts where item values are plotted and compared with 3-standard-deviation bounds above and below the mean for the process. When items are found to fall outside the bounds, they are considered non- conforming, and the process is stopped when "too many" items are out of bounds. Assuming a normal distribution of item values, what percentage of values would you expect to be out of bounds when the process is in control? Accordingly, how would you de?ne "too many"? What do you think is the rationale for this practice?
What is the probability that the auditor will select an individual return from the 1040A, Income Under $25,000 category? What is the probability that the selected return did not use Schedule C?
a sample of 20 items provides a sample standard deviation of 5. compute the 95 confidence interval estimate of the
3 cards are randomly selected without replacement from an ordinary deck of 52 playing cards. Compute the conditional probability that the first card selected is a spade, given that the second and third cards are spades.
during ejection from a military airplane the pilots acceleration must not exceed 16g ig injury is to be avoided.
Suppose that in order to satisfy legal requirements, a meat pie manufacturer may only produce .2% of pies below a weight of 750grams. If the preceding holds and if the weight of all pies is normally distributed with a standard deviation of 50 gram..
the poll claims that 70 of the population is for a new amendment. a random sample of 49 people showed that 27 voted in
the population in millions and the violent crime rate per 1000 were recorded for 10 metropolitan areas. the data are
in a study of the effectiveness of garlic for lowering cholesterol 17 subjects were treated with garlicin which is
Draw a graph that displays the relative share of bedrooms in the sample and create a box-and-whisker plot for the distribution of the price of the homes and describe the shape. Is there evidence of outliers in the data?
Consider a charity organizations that receives random donations. Assume the donations to arrive following a Poisson process with a rate of one donation per hour in average. What is the probability that it will not be able to make the payment?
a random sample of 70 needles was taken from a medical manufacturing facility and 24 were found to be defective.
A supplier of 3.5" disks clams that only 1% of the disks are defective. In a random sample of 600 disks, it is found that 3% are defective, but the supplier claims that this is simply a sample fluctuation. At the 0.01 level of significance, test t..
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