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.