# Determine whether body markings are associated with whether

*label*Statistics

*timer*Asked: Apr 8th, 2014

**Question description**

**Sex sex of Tasmanian
Devil: 1 = male, 2 = female**

**Age age of Tasmanian
Devil: 1 = young, 2 = adult,
3 = elderly**

**Diseased whether Devil was
diseased or not: 0 = diseased, 1 = not diseased**

**Length total length from
tip of nose to tip of tail in cm**

**Weight weight in kg**

**Headlength length of head in cm**

**Height height at
shoulder in cm**

**Skull width of skull
in cm**

**Marking location
of white body markings:**

**1 = chest only, 2 = chest & rump, 3=none**

**Question
1 **

**Question 1**

a) Define a target population for the data outlined above.

b) If you wished to compare the general health of Devils with the tumours to the general health of Devils without the disease but you only had the resources for a vet to examine 20 of the Tasmanian Devils in this study, give a detailed explanation of how you would decide which 20 animals to examine.

c)
Write down all the **categorical variables** and indicate
whether they are nominal or ordinal.

d)
Indicate a **graphical display** which could be constructed from the variables
described above to:

i. determine whether skull size is dependent on a Tasmanian Devil’s length

ii. compare weights of male and female Tasmanian Devils

iii. determine whether body markings are associated with whether or not a Tasmanian Devil contracts the disease

Question 2The weights of mature male Tasmanian Devils are normally distributed with a mean of 11kg and standard deviation of 0.8kg. Use this information to answer the following questions. You must show your working for these questions. You can type the formulae for your answers on one line, for example: z=(y-m)/s or z=(y-bar-m)/(s/Ön), or, if you are a more confident Word user you can use the equation editor in Word to form your equations. Alternatively, you can include your (neat!) hand-written equations (and diagrams if you wish) by photographing them so that you have the images saved as picture files and then pasting these into your solution.

a) A conservationist conducting a study of Tasmanian Devils wants to determine the effects of weight on overall health. He intends to sample mature male Tasmanian Devils which weigh at least 10.5kg. If 100 mature male Tasmanian Devils are selected at random, how many are expected to meet the requirement for his study?

b) A special breeding programme has been designed for mature male Tasmanian Devils. Only those with weights among the heaviest 3% are to be included in the programme. What is the lightest weight a mature male Tasmanian Devil can have to be eligible for this breeding programme?

c) The ideal body weight for a mature, adult male Tasmanian Devil is between 10.2 kg and 12 kg. Find the percentage of mature adult male Tasmanian Devils which are in the ideal weight range.