You need to select a simple random sample of four from eight...

You need to select a simple random sample of four from eight friends who will participate in a survey. Assume the friends are numbered $1,2,3,4,5$, 6,7, and 8 . Select four friends, using the two lines of numbers in the next column from a random number table. Read off each digit, skipping any digit not assigned to one of the friends. The sampling is without replacement, meaning that you cannot select the same person twice. Write down the numbers chosen. The first person is number 7 .$$\begin{array}{lll}07033 & 75250 & 34546 \\75298 & 33893 & 64487\end{array}$$ Which four friends are chosen?

You need to select a simple random sample of four from eight friends who will participate in a survey. Assume the friends are numbered $1,2,3,4,5$, 6,7, and 8 .
Select four friends, using the two lines of numbers in the next column from a random number table. Read off each digit, skipping any digit not assigned to one of the friends. The sampling is without replacement, meaning that you cannot select the same person twice. Write down the numbers chosen. The first person is number 7
.$$\begin{array}{lll}07033 & 75250 & 34546 \\75298 & 33893 & 64487\end{array}$$
Which four friends are chosen?

Key Concepts

Simple Random Sampling

Simple random sampling is a fundamental sampling method in statistics where every member of the population has an equal chance of being selected. This unbiased process ensures that the sample is representative of the population, eliminating selection bias and enabling valid statistical inferences about the overall group.

Sampling Without Replacement

Sampling without replacement refers to the process where each selected unit is not returned to the pool before the next draw. This method prevents the same individual from being chosen more than once, ensuring that all items in the sample are unique and reflecting the intended size of the sample accurately.

Random Number Tables

Random number tables are pre-generated lists of numbers that are used as a tool for randomization in statistical sampling. They provide a mechanism to efficiently select sample units in an unbiased manner, especially in cases where a physical random process is impractical or where computerized random number generation is not available.

Transcript

0:00 Hello.

00:01 So here we have that a person has eight friends and among them a random sample of four friends is going to be selected who participate in a survey.

00:09 So now we select those four friends randomly and then we have that our first step is that each friend is going to be assigned a number from one to eight.

00:19 So we suppose the number one is assigned to the first friend, the number two is assigned to the second friend and so on.

00:25 So we have first friend goes to one, second friend goes to two, third friend, three, up to the eighth friend is assigned eight.

00:31 So then to select the four friends randomly from a group of eight friends, we have two lines of numbers from a random number table that are considered.

00:38 So these here, we have 07033, 75250, 34, 4 ,46, 75298, 33, 8, and 64487.

00:49 So here we had a sample of four friends.

00:51 It's going to be drawn without replacement.

00:52 So one number is not going to be considered twice.

00:57 So we have the numbers, 1, 2, 3, 4, 5, 6, 7, and 8 are going to be assigned to the friends.

01:02 So in the random number table, the two numbers, 0 and 9, are going to be ignored.

01:08 So then we have the procedure of selecting the fringe is given while we start selecting the numbers from the first digit of the first line as the first digit of the first line is zero...

Please give Ace some feedback