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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)
Show that the ISB in a bin containing the origin of the double exponen-tial density, f(x) = exp(-|x|)/2, is O(h 3 ); hence, the discontinuity in the derivative of f does not have a
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