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The ranking procedure described in Exercise 35 is somewhat asymmetric, because the smallest observation receives rank 1, whereas the largest receives rank 2, and so on. Suppose both the smallest and the largest receive rank 1, the second smallest and second largest receive rank 2, and so on, and let W0 be the sum of the X ranks. The null distribution of W0 is not identical to the null distribution of W, so different tables are needed. Consider the case µ = 3, n = 4. List all 35 possible orderings of the three X values among the seven observations (e.g., 1, 3, 7 or 4, 5, 6), assign ranks in the manner described, compute the value of W0 for each possibility, and then tabulate the null distribution of W0. What is the P-value if w0 = 9? This is the Ansari-Bradley test; for additional information, see the book by Hollander and Wolfe in the chapter bibliography.
deduce that there exists a constant C such that for all
Develop hypotheses so that rejection of the null hypothesis will allow us to conclude that the most recent bullish sentiment is weaker than that of one month ago.
Nancy believes that the average running time of movies is equal to 140 minutes. A sample of 4 movies was taken and the following running times were obtained. Assume the population of the running times is normally distributed.
Of 260 females, 224 answered yes. Construct a contingency table to evaluate the probabilities. What is the probability that a respondent chosen at random:
47of americans when surveyed by a gallup poll felt that having a gun in the home made them safer than having no gun.
A 0.250 kg ball of Plasticine moving 5.0 m/s overtakes and collides with a 0.3000 kg ball of Plasticine, traveling in the same directiion at 2.0 m/s. The 2 balls of Plasticine stick together pm collison. What is their speed after the collision.
As discussed in the text, it often is possible to use a theoretical distribution as an approx imation of the distribution of some sample data. It is always important, however, to check to make sure that your data really do fit the distribution you..
Find out the conditional probability for the given data. Illustrate what is the conditional chance that the selected person is male?
If the random sample of 16 men does result in a mean score of 590 is there strong evidence to support the claim that the course is actually effective? why or why not?
When using the F-statistic for hypothesis testing of the variance, which sample variance is the numerator and which sample variance is the denominator?
on friday wall street traders were anxiously awaiting the federal governments release of numbers on the january
Is there evidence of a significant difference in the proportion who get their news primarily from newspapers between those 36 to 50 years old and those above 50 years old? (use α = 0.05)
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