Cumulative Exam Answers

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3

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?

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.
W
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.
W
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.
W
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.
5

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?

Y
Yes, because the paper slips were equally sized.
Y
Yes, because the paper slips were equally sized and the bag was shaken.
N
No, because there are only 10 questions.
N
No, because the questions were selected using a bag.
10

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?

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

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