Answers CR02201A Probability and StatisticsPopulations and Sampling

Simple Random Sample Answers

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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?

00–99

01–99

0–99

1–100

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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?

00–60

01–60

0–60

1–60

When people are discharged from a hospital, they are surveyed about the quality of their stay. The hospital asks each person to turn in the survey before leaving. Is this a simple random sample?

Yes, because each person is equally likely to get the survey.

Yes, because each person has the opportunity to respond to the survey.

No, because each person is asked to fill out the survey, so this is not a sample.

No, because not everyone has the same opportunity to answer the survey.

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?

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

462, 545, 816

009, 040, 032

160, 096, 040

046, 025, 045

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

Give each member a unique number from 01 to 78. Use a random number table and select the first 10 numbers between 01 and 78. Survey these members about their race preference.

Give each member a unique number from 01 to 78. Use a random number table and select the first 10 two-digit numbers between 01 and 78. Survey these members about their race preference.

Give each member a unique number from 01 to 78. Use a random number table and select 10 unique two-digit numbers between 01 and 78. Survey these members about their race preference.

Give each member a random number from 01 to 78. Use a random number table and select 10 unique two-digit numbers between 01 and 78. Survey these members about their race preference.

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.

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

Write each member’s name on a scrap of paper. Fold the pieces of paper and place them in a bag. Draw 10 slips of paper off the top and survey the members selected.

Write each member’s name on a scrap of paper. Fold the pieces of paper, place them in a bag, and shake the bag. Draw 10 slips of paper and survey the members selected.

The CEO of a company wants to determine whether taking the employees to a company retreat would boost their morale. He decides to survey a simple random sample of 50 of the 250 employees. Which of the following options would guarantee a simple random sample?

asking the first 50 employees who come to work on Monday morning to take the survey

telling the managers in each of the 5 departments to randomly select 10 people to take the survey

giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey

sending an email to all 250 employees asking them to complete the survey within the next couple of days

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

33, 03, 49, 02, 40

06, 33, 03, 49, 02

60, 63, 37, 80, 34

60, 37, 34, 28, 40

The president of the student council wants to survey the student population about parking. She decides to take a random sample of 100 of the 1,020 students at the school. Which of the following correctly labels the population?

1–1020

01–1020

001–1020

0001–1020

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