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1. In preparing a national promotional campaign to raise funds for operation feed the poor, the organizing committee examined previous records of donations to establish if age of a donor, in years, is a factor in the monetary size of the donation received from a donor. The records were arranged into the following contingency table.
Size of Donation/Age
20 - 34
35 - 49
50 - 64
Over 64
Above $100
25
40
47
46
$50 - $100
69
51
74
57
Below $50
36
29
19
37
Can it be concluded that the age of a donor influences the size of the donation to this charity. Test at 2.5% level of significance.
2. The average height of females in the first year post graduate class of a certain college has been 162.5 cm with a standard deviation of 6.9 cm. Is there reason to believe that there has been a change in the average height if a random sample of fifteen females in the present first year class has an average height of 165.2 cm? Test at 5% level of significance.
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