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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)
Simulation When decisions are to be taken under conditions of uncertainty, simulation can be used. Simulation as a quantitative method requires the setting up of a mathematical
(a) Elevation (m) 0 400 800 1200 1600 2000 2400 2800 3200 4000 480
Define sampling unit and population for selecting a random sample in every case. a) 100 voters from a constituency b) 20 stocks of National Stock Exchange c) 50 account ho
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Question: (a) A normal distribution is thought to have a mean of 50. A random sample of 100 gave a mean of 52.6 and a standard deviation of 14.5. A significance test was carri
A manufacturer has received complaints that aging production equipment is forcing workers to work overtime in order to meet production quotas. Historically, the average hours worke
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Correlation The board of directors of Bata Company is faced with the problem of estimating what the annual sales might be in a shop to be opened in Bagpur where Bata has not op
Show how the Normal bin width rule can be modi ed if f is skewed or kurtotic. Examine the eff ect of bimodality. Compare your rules to Doane's (1976) extensions of Sturges' rule.
fixed capacitor and variable capacitor
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