Section 1.3 Homework

1.  Define simple random sampling.

Choose the correct answer below.

1. A sample of size n from a population of size N is obtained through simple random sampling if every possible sample of size n has an equally likely chance of occurring. The sample is then called a simple random sample.
2. Simple random sampling is the process of using chance to select individuals from a population to be included in the sample. The sample is then called a simple random sample.
3. Simple random sampling is the process of obtaining a sample of size n from a population of the same size n. The sample is then called a simple random sample.
4. Simple random sampling is the process of selecting individuals from a population using a convenient sample. The sample is then called a simple random sample.

2.  What does it mean when sampling is done without​ replacement?

Choose the correct answer below.

1. Once a sample is​ taken, those individuals are no longer considered part of the population.
2. Once an individual is​ selected, the individual can be selected again.
3. Once a sample is​ taken, those individuals cannot be selected for any other samples.
4. Once an individual is​ selected, the individual cannot be selected again.

3.  As part of a college literature​ course, students must select three classic works of literature from the provided list and complete critical book reviews for each selected work. Write a short description of the processes that can be used to generate a simple random sample of three books. Obtain a simple random sample of size 3 from this list.

Which of the following would produce a simple random​ sample? Select all that apply.

1. Number the books from 1 to 9 and use a random number table to produce 3 different one digit numbers corresponding to the books selected.
2. List the names in alphabetical order and take the first three on the list.
3. Ask someone their opinion on which three books are​ best, and select those three.
4. List each book on a separate piece of​ paper, place them all in a​ hat, and pick three.

Use the portion of the random number table provided below to obtain a simple random sample of size 3 from this list. If you start on the left and take the first three numbers between 1 and​ 9, what three books would be selected from the numbered​ list?   26626 ,      72745  ,   98812

1. Huckleberry Finn, Pride and Prejudice, Pride and Prejudice
2. Huckleberry Finn, Pride and Prejudice, The Scarlet Letter
3. Death of a Salesman, The Jungle, The Scarlet Letter
4. Huckleberry Finn, Pride and Prejudice, Death of a Salesman
5. Pride and Prejudice, Death of a Salesman, The Jungle

4.

A community college employs 85 ​full-time faculty members. To gain the​ faculty’s opinions about an upcoming building​ project, the college president wishes to obtain a simple random sample that will consist of 9 faculty members. He numbers the faculty from 1 to 85.

Complete parts​ (a) and​ (b) below.

​(a) Using the provided random number​ table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row​ 3, column 6. Using this position as the starting point and proceeding​ downward, determine the numbers for the 9 faculty members who will be included in the sample.

The numbers for the faculty members are _____

5.   A community college employs  86 ​full-time faculty members. To gain the​ faculty’s opinions about an upcoming building​ project, the college president wishes to obtain a simple random sample that will consist of 9 faculty members. He numbers the faculty from 1 to 86.

Complete parts​ (a) and​ (b) below.

​(a) Using the provided random number​ table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row​ 3, column 6. Using this position as the starting point and proceeding​ downward, determine the numbers for the 9 faculty members who will be included in the sample.

The numbers for the faculty members are ________

6.  

A community college has 7654 students currently enrolled in classes. To gain the​ students’ opinions about an upcoming building​ project, the college president wishes to obtain a simple random sample of 8 students. He numbers the students from 1 to 7654.Complete parts​ (a) and​ (b) below.

​(a) Using the provided random number​ table, the president closes his eyes and drops his ink pen on the table. It points to the digit in row​ 2, column 4. Using this position as the starting point and proceeding​ downward, determine the numbers for the 8 students who will be included in the sample.

The numbers for the students are ____