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Chapter 4: Q. 11 (page 238)

Do you trust the Internet? You want to ask a sample of high school students the question 鈥淗ow much do you trust information about health that you find on the Internet鈥攁 great deal, somewhat, not much, or not at all?鈥� You try out this and other questions on a pilot group of 5students chosen from your class.

a. Explain how you would use a line of Table D to choose an SRS of 5students from the following list.

b. Use line 107to select the sample. Show how you use each of the digits.

Short Answer

Expert verified

a. From 1to 40, assign a number to each of the 40students.

b. Using line 107, skip the numbers not in bold:

8273957890208074751181676553009438314893609407.

Step by step solution

01

Part (a) Step 1 : Given Information

The sample of 40students is given

02

Part (a) Step 2 : Simplification

From 1to 40, assign a number to each of the 40students. On the random number table, choose a starting point. Make a list of two-digit numbers, skipping those that aren't between 01and 40and any that are repeated, until you have 5distinct numbers between 01and 40. Use the 5pupils who match these numbers.

03

Part (b) Step 1 : Given Information

The sample of 40 students is given

04

Part (b) Step 2 : Simplification

Using line 107, skip the numbers not in bold: 8273957890208074751181676553009438314893609407. Select Johnson (20), Drasin (11), Washburn (38), Rider (31), and Calloway (07).

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Most popular questions from this chapter

Nonresponse A survey of drivers began by randomly sampling from all listed residential

telephone numbers in the United States. Of 45,956 calls to these numbers, 5029 were

completed. The goal of the survey was to estimate how far people drive, on average, per

day. Describe how nonresponse might lead to bias in this study. Explain the likely

direction of the bias.

iPhonesSuppose 1000iPhones are produced at a factory today. Management would like to ensure that the phones鈥� display screens meet their quality standards before shipping them to retail stores. Because it takes about 10minutes to inspect an individual phone鈥檚 display screen, managers decide to inspect a sample of 20phones from the day鈥檚 production.

a. Explain why it would be difficult for managers to inspect an SRS of 20iPhones that are produced today.

b. An eager employee suggests that it would be easy to inspect the last 20iPhones that were produced today. Why isn鈥檛 this a good idea?

c. Another employee recommends a different sampling method: Randomly choose one of the first50 iPhones produced. Inspect that phone and every fiftieth iPhone produced afterward. (This method is known as systematic random sampling.) Explain carefully why this sampling method is not an SRS.

When we take a census, we attempt to collect data from

a. a stratified random sample.

b. every individual chosen in a simple random sample.

c. every individual in the population.

d. a voluntary response sample.

e. a convenience sample.

Student archaeologists An archaeological dig turns up large numbers of pottery shards,

broken stone tools, and other artifacts. Students working on the project classify each

artifact and assign a number to it. The counts in different categories are important for

understanding the site, so the project director chooses 2%of the artifacts at random and

checks the students鈥� work. Identify the population and the sample.

Your statistics class has 30students. You want to ask an SRS of 5students from your class whether they use a mobile device for the online quizzes. You label the students 01,02,...,30. You enter the table of random digits at this line: 1445926056314248037165103622532249061181

Your SRS contains the students labeled

a. 14,45,92,60,56

b. 14,31,03,10,22

c. 14,03,10,22,22

d.14,03,10,22,06

e.14,03,10,22,11
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