AnswersStatistical ReasoningSimple Random Sample

Simple Random Sample — Quiz Answers

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1
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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?

A
2
B
3
C
4
D
1
2
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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?

A
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.
B
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.
C
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.
D
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.
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?

A
Yes, because each hotel rewards member has the same chance of being selected.
B
Yes, because the hotel rewards members were randomly selected for the sample.
C
No, because each sample of 100 does not have the same chance of being selected.
D
No, because the sample of 100 is too small a sample to represent the population.
4

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?

A
telling the managers in each of the 5 departments to randomly select 10 people to take the survey
B
giving each employee a unique number from 1 to 250 and randomly selecting 50 people to take the survey
C
sending an email to all 250 employees asking them to complete the survey within the next couple of days
D
asking the first 50 employees who come to work on Monday morning to take the survey
5

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?

A
1–100
B
0–99
C
01–99
D
00–99
6

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?

A
No, because she did not mix the pieces of paper in the hat before selecting the sample.
B
No, because she did not look into the hat while she was selecting the sample.
C
Yes, because she did not look into the hat while she was selecting the sample.
D
Yes, because the slips of paper were all the same shape and size.
7

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?

A
This is neither a random sample nor a simple random sample.
B
This is a random sample, but it is not a simple random sample.
C
This is not a random sample, but it is a simple random sample.
D
This is a random sample, and it is a simple random sample.
8

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?

A
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.
B
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.
C
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.
D
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.
9

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?

A
Yes, because each person has the opportunity to respond to the survey.
B
Yes, because each person is equally likely to get the survey.
C
No, because each person is asked to fill out the survey, so this is not a sample.
D
No, because not everyone has the same opportunity to answer the survey.
10

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?

A
No, because there are only 10 questions.
B
Yes, because the paper slips were equally sized.
C
No, because the questions were selected using a bag.
D
Yes, because the paper slips were equally sized and the bag was shaken.

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