Simple Random Sample

Question 1

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

Revolt · Accepted Answer

6: 6, 0, 3

Question 2

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?

Revolt · Accepted Answer

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

Question 3

A farmer sows 100 seeds of a new type of corn and wants to quickly determine the yield, or total number of ears of corn, for the crop when it has matured. He decides to take a simple random sample of the crop. Which of the following correctly labels the population?

Revolt · Accepted Answer

A: 00–99

Question 4

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?

Revolt · Accepted Answer

W: 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.

Question 5

The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. The employees are assigned the numbers 001–250. Refer to the given line from a random number table. Which numbers represent the first 3 members selected?46254 58160 09695 38399 40400 32662

Revolt · Accepted Answer

0: 009, 040, 032

Question 6

The CEO of a company wants to determine if taking the employees to a company retreat would boost their morale. He decides to use a random number table to survey a simple random sample of 50 of the 250 employees. How many digits should he use?

Revolt · Accepted Answer

3: 3

Question 7

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?

Revolt · Accepted Answer

0: 01–60

Question 8

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?

Revolt · Accepted Answer

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

Question 9

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?

Revolt · Accepted Answer

4: 4

Question 10

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

Revolt · Accepted Answer

6: 60, 37, 34, 28, 40

Simple Random Sample Answers

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