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1) Suppose you want to test a hypothesis that two treatments, A and B, are equivalent against the alternative that the response for A tend to be larger than those of B. You plan to use a paired difference experiment and to analyze the resulting data, which is reproduce below. Given that, the observations are not normally distributed:
i) Specify the null and alternative hypothesis you would test
ii) Conduct the test using the 0.05 significance level
Pair
1
2
3
4
6
7
8
9
10
A
54
60
98
43
82
77
74
29
80
B
45
87
31
71
75
63
30
2) In a survey to find out the relationship between religious affiliation and attitudes abortion, the data below was obtained:
Catholics
Protestants
Moslems
Total
Approve
25
100
Disapprove
200
120
300
(i) Copy and complete the table above
(ii) Test the hypothesis that there are no significances among the religious groups in terms of attitude towards abortion. (α=0.05)
Q. Find the inverse Laplace transform of Y (s) = s-4/s 2 + 4s + 13 +3s+5/s 2 - 2s -3. Q. Use the Laplace transform to solve the initial value problem y''+ y = cos(3t), y(0) =
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the sum of mean and variance ofabinomia distribution of 5 trials is 9/5, find the binomial distribution.
10. If a set of scores has a sample mean of 25 and a sample variance of 4, find the following: a. the z-score for a raw score of 31 b. the z-score for a raw score of 18 c. the raw
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Try different numbers of clusters in your program (K=2...15) and build a plot that shows the dependency between number K and value of RSS function on the last iteration. What is th
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For each of the following situations choose the statistical model that you find to be the most appropriate. Justify your choice. a) We are interested in assessing the effects of
2 bidders have identical valuations of an object for sale. The value of the object is either 0; 50 or 100, with equal probabilities. The object is allocated to one of the bidders i
CALCULATE THE PERCENTAGE OF REFUNDS EXPECTED TO EXCEED $1000 UNDER THE CURRENT WITHHOLDING GUIDELINES
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