Simple Random Sample Quiz

A greenhouse owner wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet seedlings that were grown for 8 weeks. She wants to test the new fertilizer on 10 of the plants, and decides to use a random number table to select a simple random sample. Which of the following correctly labels the population of violets?

01-60

The president of the student council wants to survey the student population about parking. She decides to use a random number table to take a random sample of 100 of the 1,020 students at the school. What is the smallest number of digits that should be used to label the population?

4

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. The teacher assigns each homework question a digit from 0 to 9. Refer to the given line from a random number table. Which numbers represent the 3 homework questions selected? 60600 38034 99602 83440 55120 61551

6, 0, 3

A hotel rewards club wants to randomly select 100 of its 5,000 members to participate in a survey. The club wants to determine if people's opinions differ based on age. There are 2,200 members between the ages of 25 and 50, and there are 2,800 who are age 51 or older. The club decides to randomly select 44 members between the ages of 25 and 50, and 56 members ages 51 and older. Is the sample of 100 members a simple random sample?

No, because each sample of 100 does not have the same chance of being selected.

The president of the student council wants to survey the student population. She decides to take a random sample of 100 students. She puts every student's name on a rectangular slip of paper, each with the same length and width. Then she places the slips of paper into a hat and, without looking, selects 100 slips of paper. Is this a simple random sample?

No, because she did not mix the pieces of paper in the hat before selecting the sample.

A school cafeteria wants to survey a random sample of 50 students about the quality of food. During one lunch period, every 5th student who walks through the cafeteria door is surveyed until 50 students are selected. Which of the following statements is true about this sample?

This is neither a random sample nor a simple random sample.

Several members of a running club would like to survey the rest of the members to determine which 5K race the club should enter. They decide to sample 10 of the 78 members and have them fill out a survey about their race preference. Which of the following would be a simple random sample?

Write each member's name on an equal-sized slip of paper. Place the slips of paper in a bag and shake. Draw 10 slips of paper and survey the members selected.

A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. He writes the numbers 1-10 on equally sized slips of paper and places them in a bag. He shakes the bag and selects 3 slips of paper. Is the sample of 3 questions a simple random sample?

Yes, because the paper slips were equally sized and the bag was shaken.

The owner of a greenhouse wants to test the effectiveness of a new fertilizer on African violets. She has 60 violet seedlings that were grown for 8 weeks. She wants to test the new fertilizer on 10 of the plants, and decides to use a random number table to select a simple random sample. She labels the violets 01-60. Refer to the given line from a random number table. Which numbers represent the first 5 plants selected? 60633 78034 99602 83440 55120 61551

60, 37, 34, 28, 40