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For each of the following scenarios, indicate which type of statistical error could have been made and (where additional information is needed) specifically what would need to have happened for said
A company purchases shipments of machine components and uses this acceptance sampling plan: Randomly select and test 20 components and accept the whole batch if there are fewer than 3 defectives.
If a particular shipment of thousands of components actually has a 8% rate of defects, what is the probability that this whole shipment will be accepted? Round to three decimal places.
The sample yielded a mean score of 53. Test the hypothesis that the training program has a significant effect on mechanical aptitude score. What is the standard error of the mean for this sample?
To estimate an unknown mean , we take a random sample of size 49 , and we calculate Y-bar . What is an approximate 95% bound on epsilon?
Intelligence tests are designed to provide a normal distribution of IQ scores with a mean of 100 and a standard deviation of 15.
The lengths of full-grown emerald tree boas from the Amazon River Basin are known to be normally distributed with a mean of 7.6 feet and a standard deviation of 0.45 feet. What is the probability th
Suppose that there are a total of 18 students in an elementary school class. The teacher assigns each of the students a report on a mainland country in either North America or South America (not inc
A proposal has been presented to the government of Newfoundland and Labrador to build a new section of highway that would provide improved access for residents of a remote coastal area near Bonavist
The R.R. Bowker company collects information on the retail prices of books and publishes the data in the Bowker annua libray and book and trade almanac. In 2005, the mean retail of agriculture books
Automobiles arrive at the drive-thru window at the downtown Fort McMurray post office at the rate of 4 every 10 minutes. The average service time is 2 minutes. The Poisson distribution is appropriat
If the mean value of a set of data including 6 sample tests is 20, and the standard deviation of the data is 5, what is the probability that the test value will be less than 18 in any subsequent sam
Compare the means of the following sets of yield data (from catalysts A&B). Determine if we can state the mean yield of catalyst B is greater than the mean yield of catalyst A at a 95% confidenc
A professor uses a normal distribution to determine grades from a class of 100 students. The syllabus states that students with a final grade equal to 1.4 standard deviations above the mean (or grea
Let X be a random variable with mean 3 and variance 2, and let Y be a random variable, such that for every x, the conditional distribution of Y given X = x has mean x and variance x2 . What is the v
Imagine you are in charge of reviewing applications for your academic institution. As a preliminary measure, you want to review only the top 25% of applicants on the basis of standardized test score
A community college mathematics department experimented with four different delivery methods for their intermediate algebra courses:
Suppose that the diameter of a metal cylinder has a probability density function given by: f(x) = 1.5 - 6( x - 50)2 for 49.5 ? x ? 50.5 mm
The moisture X of the wet mix of a product is considered to have an effect on the density Y of the finished product. The moisture of the mix was controlled and the finished product densities were as
Convert the following SAT scores into a new distribution with a mean of 50 and a standard deviation of 2. What new score equals an SAT score of 570?
Conduct a simple linear regression analysis of these data in which the average tuition for private colleges is predicted by the average public college tuition. Test the significance of the model usi
Construct the ANOVA table for these data. Test the null hypothesis that effects due to the different preparations are not significantly different. If H_0 is rejected, estimate the four preparation e
To provide information on whether coatings on iron pipes are of any use, 10 pieces of pipe are each marked off in equal segments, one to receive coating A, one to receive coating B, and the third le