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The average weight of an airline passenger's suitcase is 45 pounds (µ=45). The standard deviation is 2 pounds (σ = 2). If 20% of the suitcases are overweight, find the maximum weight allowed by the airline. That is, find the 80th percentile, which is the X that represents the weight of the suitcase. Assume that the variable is normally distributed.
The wedding date for a couple is quickly approaching, and the wedding planner must provide the caterer an estimate of how many people will attend the reception so that the appropriate quantity of food is prepared for the buffet.
carbon dioxide gas enters a well-insulated diffuser at 20 psia 500 r with a velocity of 800 fts through a flow area of
Each vehicle had the gallon of gas added to the empty tank and then driven until empty. Number of miles travelled for all twelve readings are below. Use data to compute the mean and median mileages.
Refer to Exercise 8.17. Would a 90% con?dence interval be wider or narrower than the one that you found in that exercise? Verify your results by computing the interval.
Let X1, ... , Xn depict a random sample drawn from the probability density function f (x; θ) = θxθ -1,0 x 1, θ > 0. Find the minimum variance bound for an unbiased estimator of θ .
The Institute for Operations Research and the Management Sciences
A population of raw scores is normally distributed with μ =0 60 and = 14. Determine the z scores for the following raw scores taken from that population:
Discover Card would like to set α = 0.05. Define Population 1 as Dallas and Population 2 as Houston and use the critical value approach to test this hypothesis.
Use the given degree of confidence and sample data to construct a confidence interval for the population mean x. Assume that the population has a normal distribution.
Using α = 0.05, does this sample provide enough evidence to conclude that the average utility bill in Delaware was lower in the winter of 2011-2012 than it was in the winter of 2010-2011?
a what is the expected value of the sample mean weight? give an exact answer.b what is the standard deviation of the
The diameters of certain cylindrical items produced by a machine are r.v.'s distributed as N(m, 0.01). A sample of size 16 is taken and is found that x¯ = 2.48 inches.
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