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Three parts are assembled in series so that their critical dimensions x1, x2, and x3 add. The dimensions of each part are normally distributed with the following parameters: μ1 = 100, σ1 = 4, μ2 = 75, σ2 = 4, μ3 = 75, and σ3 = 2. What is the probability that an assembly chosen at random will have combined dimension in excess of 262?
Would the method described above be a good way to determine which team was taller (explain why or why not)?
A video rental store has two video cameras available for customers to rent. Historically, demand for cameras has followed this distribution:
Suppose a population proportion is .40, and 80% of the time when you draw a random sample from this population you get the sample proportion of .35 or more.
The weekly demand for a product follows a normal curve with an average of 1000 units and a standard deviation of 200 units. In how many weeks during a typical 52-week year would be above 800 units?
For each of the following statistical tests, state the null hypothesis and the two sided alternative hypothesis.
The diameters of a wooden dowel produced by a new machine are normally distributed with a mean of 0.55 inches and a standard deviation of 0.01 inches. What percent of the dowels will have a diameter less than 0.57?
Describe the "third variable problem" as it relates to correlation and provide an example of how you might see this played out in your own field.
Assume the population proportion is 0.17 and a simple random sample of 850 households will be selected from the population. What is the probability that the sample proportion will be within ±0.02 of the population proportion?
If sensitivity and specificity remain constant, determine the relationship of prevalence to predictive value positive and predictive value negative?
If Larry gets a 70 on a physics test where the mean is 65 and the standard deviation is 5.8, where does he stand in relation to his classmates?
As a test the truck company purchases a random sample of metal parts from Steel-R-Us, and then determines if these parts were delivered on-time. Which hypotheses should they test?
At a particular location on a river the number of fish caught per man-hour of fishing effort has a Poisson distribution with ?= 1.3 fish per man hour. Find the following probabilities:
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