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In the search for a new quality-control specification for concrete more definitive than just a lower limit, a confidence-interval type of specification has been suggested. It is argued that if the 28-day strength of standard cylinders is to be well controlled, the specification should state that, say, 90 percent of the test results shall lie in a given range. Questions arise in the use of such a decision rule owing to limitations on sample size. For example, it is desired that the concrete have a mean strength of 4000 psi. Assume that concrete cylinder strengths are normally distributed and that the standard deviation is stable and known to equal 600 psi. The specification states that 90 percent of the test results must lie in the range 3000 to 5000 psi (i.e., about m ± 1.65σ). Unfortunately, the actual sample size may be as small as three. Assume that three strengths-3600, 4600, and 4400 psi-have been observed. Assuming a "perfectly vague" prior distribution on the mix mean, what is the probability that the true mean is equal to or greater than 4000 psi? If the true mean is in the range 3500 to 4500 psi, no significant loss is involved, but a loss of $1,000 is assumed if the true mean is below 3500 psi or above 4500 psi, and it is not reported. Compute the expected loss of accepting (based solely on the three observations) the mix as having a true mean in this range.
Construct a 90% confidence interval estimate of the proportion of adults whose favorite fruit is banana.
carter motor company claims that its new sedan the libra will average better than 21 miles per gallon in the city.
what is the first big change that american drivers made due to higher gas prices? according to a survey 30 said that it
what is the taguchi constant for a device that costs 400 to repair and a tolerance of plus or minus 0.5 mm with a mean
Give the example of when it is suitable to apply mixed method research in human services field. Sum-up how scientifically sound research supports function of human services manager.
assume that the helium porosity in percentage of coal samples taken from any particular seam is normally distributed
Find the percentile for the observed value in the following situations: GRE score of 450 (mean = 497, s.d. = 115).
An individual is considered to be overweight if his or her BMI is at least 25 (Kuczmarski et al., 1997). Estimate the percentage of overweight subjects in the NHANES III population using the SRS of 96 subjects from Problem 26 and, separately, usin..
What are the characteristics of a normal distribution? Why is the normal distribution important in statistical analysis? What is the Standard Normal Distribution?
Modeling product sales. A company wants to model the total weekly sales, y, of its product as a function of the variables packaging and location.
1. beechwood specialty electronics has just leased space for a store in the crestview hills towne center that will
What ultimately were these codes designed to do?
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