Q. 48 - The Practice of Statistics for AP

Question

The California Department of Fish and Game publishes a list of the state’s endangered animals. The reptiles on the list are given across the bottom of the question. 

(a) Describe how you would use Table D at line 111 to choose an SRS of 3 of these reptiles to study. 

(b) Use your method from part (a) to select your sample. Identify the reptiles you chose.

Desert tortoise  Green sea turtle   Loggerhead sea turtle    Giant garter snake Olive Ridley sea turtle     Leatherback sea turtle       Barefoot banded gecko San Francisco garter snake      Island night lizard      Alameda whip snake Coachella Valley fringe-toed lizard       Flat-tailed horned lizard         Southern rubber boa         blunt-nosed leopard lizard 

Step-by-Step Solution

Answer

(a) Select the relevant animal if the $2$-digit number is between $01$ and$14$, otherwise ignore the number and move on to the next $2$-digit number.

(b) The chosen reptiles are 

Blunt-nosed leopard lizard

Flat-tailed horned lizard

Coachella Valley fringe-toad lizard.

Part (a) Step 1: Concept introduction

Reptiles are aerosol animals with wings, dorsal spines, or a mixture of both on their epidermis. Alligators, scorpions, lizards, frogs, and tortoises are among them.

Part (a) Step 2: Explanation

According to the alphabetical sequence, assign a unique number between 1 and 14 to each animal in the list:

$1=$Desert tortoise

$2=$Olive Ridley sea turtle

..

14=San Francisco garter snake

Select the first $2$-digit number in the row $111$ of table D

Select the relevant animal if the two-digit number is between $01$ and $14$, otherwise ignore the number and move on to the next two-digit number.

Repeat until you obtain $3$ different animals and repeated numbers/animals are ignored.

Select the relevant animal if the $2$-digit number is between $01$ and $14$, otherwise ignore the number and move on to the next -digit number.

Part (b) Step 1 : Concept introduction

Reptiles are aerosol animals with wings, dorsal spines, or a mixture of both on their epidermis. Alligators, scorpions, lizards, frogs, and tortoises are among them.

Part (b) Step 2: Explanation

According to the alphabetical sequence, assign a unique number between $1$ and $14$ to each animal in the list:

$1=$Desert Tortoise   $2=$ Olive Ridley sea turtle  San Francisco garter snake, number $14$

Select the first two-digit number in table D's row $111$

If the $2$-digit number is between $01$ and $14$, then select the corresponding animal, else ignore the number and move on to the next $2$-digit number

Repeat until you obtain $3$ different animals and repeated numbers/animals are ignored

The selected reptiles are 

Blunt-nosed leopard lizard

Flat-tailed horned lizard

Coachella Valley fringe-toad lizard.