1) The table below shows the number of Red-billed Oxpeckers counted per any given number of giraffes at the Kruger National Park.
Observation Giraffe count Number of Oxpeckers observed
1 3 34
2 2
10
3 2 12
4 1 4
5 3 27
6 1 6
7 5 40
8 4
30
9 2 12
10 1 6
a) Calculate the mean number of Oxpeckers per single giraffe [2]
b) Calculate the mean number of giraffes per observation [2]
c) Using this data, state appropriate hypothesis and then determine the relationship between the numbers of Oxpeckers and that of giraffes. [6]
d) Plot a correctly formatted figure with a heading and axes labels to illustrate this relationship. [4]
e) How many Oxpeckers would you expect to find when you have 10 giraffes? [4]
2) A researcher wants to know if the amount of money spent by tourist differs at three national parks (namely Kruger, Mokala and Table Mountain National Parks) and between tourist gender (male vs female). He then recorded the amounts spent by several tourists at each of the three national parks. Results are shown in the table below:
Amount spent (Expenditure in R)
Gender Kruger Mokala Table Mountain
Female 18 111 35 339 36 672
Female 21 781 32 984 38 124
Female 24 200 34 567 41 987
Female 22 678 36 556 37 754
Female 21 100 36 563 38 453
Female 23 574 37 333 37 712
Male 19 002 22 567 27 802
Male 16 205 25 672 24 002
Male 13 401 26 980 26 900
Male 15 589 27 000 28 222
Male 16 653 24 552 28 000
Male 14 354 26 612 29 783
a) At all parks, how does tourist expenditure differ between gender? [4]
b) Are there any differences in tourist expenditure amongst the three parks? [4]
c) What influence does gender (female vs male) have on expenditure amongst all three parks? In other words is there any interaction between tourist gender and expenditure at any given park? State the hypotheses and discuss your results [6]
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