Chapter 7.2, Problem 48E

(a)

To determine

To describe how you would use Table D at line $111$ to choose an SRS of three of these reptiles to study.

Explanation of Solution

In the question, it is given that the California department of fish and game publishes a list of the state’s endangered animals. Thus, the given every animal in the list a unique number between $1\text{ and 14}$ according to the alphabetical order as:

  $1=$ Desert tortoise

  $2=$ Olive Ridley sea turtle

And so on..

  $14=$ San Francisco grater snake.

Now, select the first two-digit number in row $111$ of table D. If the two-digit number is between $01\text{ and 14}$ , then select the corresponding animal, else ignore the number and move on to next two-digit number. Then, we will repeat until you obtain three different animals and repeated numbers/animals are ignored.

(b)

To determine

To use your method from part (a) to select your sample and identify the reptiles you chose.

Answer to Problem 48E

The selected animals are: Blunt nosed leopard lizard, Flat-tailed horned lizard and Coachella Valley fringe-toad lizard.

Explanation of Solution

In the question, it is given that the California department of fish and game publishes a list of the state’s endangered animals. Thus, the given every animal in the list a unique number between $1\text{ and 14}$ according to the alphabetical order as:

  $1=$ Desert tortoise

  $2=$ Olive Ridley sea turtle

And so on..

  $14=$ San Francisco grater snake.

Now, select the first two-digit number in row $111$ of table D. If the two-digit number is between $01\text{ and 14}$ , then select the corresponding animal, else ignore the number and move on to next two-digit number. Then, we will repeat until you obtain three different animals and repeated numbers/animals are ignored. Thus, the line $111-112$ of table D is as:

  $\begin{array}{l}818486,69487,60513,09297,00412,71236,27649,39950,\\ 59636,88804,04634,71197\end{array}$

And the simulation will be as:

  $\begin{array}{l}81\Rightarrow \text{ Ignore}\\ 48\Rightarrow \text{ Ignore}\\ 66\Rightarrow \text{ Ignore}\\ 94\Rightarrow \text{ Ignore}\\ 87\Rightarrow \text{ Ignore}\\ 60\Rightarrow \text{ Ignore}\\ 51\Rightarrow \text{ Ignore}\\ 30\Rightarrow \text{ Ignore}\\ 92\Rightarrow \text{ Ignore}\\ 97\Rightarrow \text{ Ignore}\\ 00\Rightarrow \text{ Ignore}\\ 41\Rightarrow \text{ Ignore}\\ 27\Rightarrow \text{ Ignore}\\ 12\Rightarrow \text{ Select Blunt-nosed leopard lizard}\\ 36\Rightarrow \text{ Ignore}\\ 27\Rightarrow \text{ Ignore}\\ 64\Rightarrow \text{ Ignore}\\ 93\Rightarrow \text{ Ignore}\\ 99\Rightarrow \text{ Ignore}\\ 50\Rightarrow \text{ Ignore}\end{array}$

  $\begin{array}{l}59\Rightarrow \text{ Ignore}\\ 63\Rightarrow \text{ Ignore}\\ 68\Rightarrow \text{ Ignore}\\ 88\Rightarrow \text{ Ignore}\\ 04\Rightarrow \text{ Select Flat-tailed horned lizard}\\ 04\Rightarrow \text{ Ignore}\\ 63\Rightarrow \text{ Ignore}\\ 47\Rightarrow \text{ Ignore}\\ 11\Rightarrow \text{ Select Coachella Valley fringe-toad lizard}\end{array}$

Thus, the selected animals are:

Blunt nosed leopard lizard, Flat-tailed horned lizard and Coachella Valley fringe-toad lizard.