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In the North American court system, a defendant is assumed innocent until proven guilty. In an ideal world, we would expect that the truly innocent will always go free, whereas the truly guilty ones will always be convicted. Now, let us tackle the following questions.
In the context of the Type I error and Type II error, can you relate a court trial scenario in terms of these two errors?
What would be your ideal situation if you are the defendant?
What would be your ideal situation if you are the prosecuting attorney?
Lastly, what do you think of the scenario of an ideal world where we expect that no innocent will be found guilty and all guilty will be convicted in the context of Type I error and Type II error?
Find the standard deviation and variance from the (population) data below. Describe your results.
A researcher believes that if she uses a different text the students will score differently on the standardized test but she doesn't know what the difference is. The test had a mean of 110 and a σ of 12.
An airline estimates that 90% of people booked on their flights actually show up. If the airline books 71 peopleon a flight for which the maximum number is 69, what is the probability that the number of people who show up will exceed the capacity ..
Your statistics instructor wants you to determine a confidence interval estimate for the mean test score for the next exam.
What is the difference between common cause variation and special cause variation? What should you do to improve a process when special causes of variation are present?
Determine the point estimate and 95% confidence interval for the mean family dental expenses of all employees of the company.
For the following scores, find the (a) mean, (b) median, (c) sum of squared deviations, (d) variance, and (e) standard deviation:
A defective picture tube was discovered in the latest shipment. What is the probability that it came from Tyson Wholesale?
Is there evidence to suggest a difference in the mean waiting times at the four body shops? Use the .05 significance level.
A 'good' correlation is data-context driven. For example, I did a project correlating sales volume per state and customer demographics (pretty 'hard' data) and got a .92 correlation.
Use a 0.05 significance level to test the claim that this sample comes from a population with a married percentage of less than 58.6%.
A recent research report shows that the percentage of college students who have been reported for plagiarizing has reached 30% each in the colleges of Education, Arts and Sciences, and Business, but only 10% in the School of Law.
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