Question 3. [10 marks] [Chapter 5]

A wildlife biologist was interested in whether raising deer in captivity has an effect on the size

of the deer. She took a random sample of one-year old deer that had been raised in the wild and

another sample of one-year old deer of the same breed that had been raised on a deer farm and

obtained the animals weights.

The data are stored in the file "Deer.csv" which can be downloaded from Canvas. The data

contains 2 variables:

Weight The weight of the deer (in kilograms)

Environment The environment the deer was raised in (Wild or Farm)

Download the VIT Guide for Bootstrapping from Canvas.

Use the Guide while working on this question.

Run the VIT software and load the file Deer.csv into it.

(a) (i)

Generate a bootstrap confidence interval for the mean weight of one-year old deer.

(DO NOT use the variable Environment at this point.) Include the output in your

assignment answers. [1 Mark]

(ii)

What is the parameter we are estimating using this bootstrap confidence interval? [1 Mark]

(iii)

Do we know the true value of this parameter? [1 Mark]

(iv) Interpret the bootstrap confidence interval. [1 Mark]

(v) Briefly explain why students doing this assignment will not all get the same bootstrap

confidence interval. [1 Mark]

(b) (i)

Generate a bootstrap confidence interval for the difference between the mean

weight of one-year old deer that have been raised in the wild and one-year old deer

that have been raised on a farm. Include the output in your assignment answers. [1 Mark]

(ii)

What is the parameter we are estimating using this bootstrap confidence interval? [1 Mark]

(iii)

Interpret the bootstrap confidence interval. [2 Marks]

(iv) Based on the bootstrap confidence interval, is it believable that the mean weight

of one-year old deer that have been raised in the wild is the same as that of one-year old

deer that have been raised on a deer farm? Briefly justify your answer. [1 Mark]