Question

Sampling the forest To gather data on a $1200$-acre pine forest in Louisiana, the U.S. Forest Service laid a grid of $1410$ equally spaced circular plots over a map

of the forest. A ground survey visited a sample of $10\%$ of these plots.$12$

(a) Explain how you would use technology or Table D to choose an SRS of $141$ plots. Your description should be clear enough for a classmate to obtain your results.

(b) Use your method from (a) to choose the first $3$ plots.

Short answer

Part (a) The three-phase starter is the overload relay that gets connected with the three lines.

Part (b) The plot $1387,629$ and $908$ are selected.

Step-by-step solution

Part (a) Step 1: Given information

A number of equally spaced circular plots = $1410$

The sample size, $1410\times 0.1=141$

Part (a) Step 2: Concept

A simple random sample (SRS) of size is made up of $n$ people chosen from the population with an equal chance of being the sample that is actually chosen.

Part (a) Step 3: Explanation

A $10\%$ sample of these plots was visited during a ground survey."

TABLE D- The unique number between $1$ and $1410$ is taken into account. The row is chosen from table D. The number $1$ and $1410$ are included in the four digits. The appropriate plot is chosen or moved to the next four digits. For $141$ values, the plot is repeated. For using three phase motor starters, the line or wiring diagram is developed based on which the line gets overloaded the relays. At overload relays with the coil at the control circuit, the contact will be present. As a result, the coil and control circuit will remain connected. Low voltage protection emerges in a three-wire system. It's connected to the starter that controls everything. As a result, the voltage value will not be selected automatically. Overload relays are used to safeguard circuits from excessive current. They are joined in three lines with three phase starters.

Part (b) Step 1:Calculation

The seven distinct numbers are chosen from $1$ to $1410$

Starting at number $122$ $1387381598950629090873592751868713695761$

The first four digits of any number with a $7$ between $1$ and $1410$ are taken. The plot can either be picked or moved to the following four digits. $$\begin{gathered} 1387\Rightarrow selectplot1387 \\ 3815\Rightarrow Ignore \\ 0629\Rightarrow Selectplot629 \\ 0908\Rightarrow Selectplot908 \end{gathered}$$

As a result, plots $1387,629,$ and $908$ are chosen.

The T183/T184 CALCULATOR is used with the operations listed below: randInt is one of the commands that should be used $(1,1410,3)$ The bottom and upper margins are represented by the first and second numbers. The values should be somewhere in the middle.

The third number is included in the total number of required selections.

PRB determines the MATH type by using randInt.

The plot $1387,629$ and $908$ are selected.