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How would you define the Wilcoxon Signed Rank Test? How would you define the Mann-Whitney Statistic? Calculate at 5% significance level of Mann-Whitney Statistic U of a disease study, when the sum of the ranks W is 100; normal set m is 3 and the disease set n is 10. Define Kolmogorov-Smirnov Two- Sample test. Define Permutation.
A normal distribution with mean value 110 and standard deviation 15. Approximate the probabilities below. (Round all answers to four decimal places.)
The cost of each book is a random variable with mean 30. What is the expected value of his total expenditure? Find the joint PMF of K and N. Find the marginal PMF of N.
The following data are from two separate samples. Does it appear that these two samples came from the same population or from two different populations?
For the control group, the mean was 70.3 and the standard deviation was 8.3. (a) Do beta-blockers reduce the pulse rate? State the hypotheses and do a t test.
A least squares linear trend line is just a simple regression line with the independent variable being time (months or years for example).
Employees of MNM Corporation are about to undergo a retraining program. Management is trying to determine which of three programs is the best.
Calculate separately for 1983 and 1987, the 95% confidence interval for the proportion of students who had driven an automobile while drinking.
Is there a significant difference in mean HDL levels among the exercise groups? Run the test at a 5% level of significance.
We desire to test at 0.05 level of significance whether modification increases the life of battery. What is our decision rule? Reject null hypothesis if calculated t is less than 1.96.
Let F be a field and p(x) and irreducible polynomial over F. Prove that (p(x)) is a prime ideal of F[x]. If R has no divisors of zero, then neither does R[x].
Generate a 95% confidence interval for the difference in mean HDL levels between men when exercise regularly and those who do not.
Which of these measurement scales (nominal, ordinal, interval and ratio) can be handled through hypothesis testing? What are the five steps in hypothesis testing? Is the order important? Why or why not?
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