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Destructive sampling, in which the test to determine whether an item is defective destroys the item, is generally expensive, and the high costs involved often prohibit large sample sizes. For example, suppose the National Highway Traffic Safety Administration (NHTSA) wishes to determine the proportion of new tires that will fail when subjected to hard braking at a speed of 60 miles per hour. NHTSA can obtain the tires for $25 (wholesale price) each. Suppose the budget for the experiment is $10,000, and NHTSA wishes to estimate the percentage that will fail to within 0.02 with 95% confidence. Assuming that the entire $10,000 can be spent on tires (ignoring other costs), and that the true fraction that will fail is approximately .05, can NHTSA attain its goal while staying within the budget? Explain.
The random variable x is known to be uniformly distributed between 1.0 and 1.5.
A statistics instructor wants to know which route will get her to school the fastest. Each day from October 2 to November 15, when she gets to the turn point she checks the odometer on her car
Compare a tabular cum sum chart using standardized values h = 5 and k = 1/2. What is the information you learn.
The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals:
In a regression analysis involving 30 observations, the following estimated regression equation was obtained.
Determine the probability of fatal accident over lifetime? Describe your reasoning carefully. Suppose independent events. Why might the supposition of independence be violated?
Which combination of factors produces smallest risk of Type I error?
Perform a contingency analysis on the data to determine if there is any dependency between the number of level of education attained by the father and the size of his family.
Utilize this information to construct a probability table, and then calculate each of the given probabilities:P (female and domestic car).
Among 500 freshmen pursuing a business degree at a university, 347 are enrolled in an economics course, 204 are enrolled in a mathematics course, and 160 are enrolled in both an economics and a mathematics course.
Suppose that during a basketball practice. Joe tries 3 shots from the free throw line; imagine further that he has a probability equal to 0.6 of making each shot and that the attempts are independent. Let 'X' be the number of baskets he makes in t..
Determine the likelihood of accepting a lot which is 1% defective?
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