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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 5 students chosen from your class. The class members are listed at the top right.

(a) Explain how you would use a line of Table D to choose an SRS of 5 students from the following list. Explain your method clearly enough for a classmate to obtain your results.

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

Short Answer

Expert verified

Part (a) Make a list of two-digit numbers, skipping those that aren't between 01 and 40 or are repeats, until you have five distinct numbers between 01and 40

Part (b) Our SRS of 5Pilot group of students chosen from class is:

Johnson(20)

Drasin (11)

Washburn (38)

Rider(31)and Calloway (07)

Step by step solution

01

Part (a) Step 1: Given information

The sample of 40students is given

AndersonDengGlausNguyenSamuels
ArroyoDe ramosHellingPalmieroShen
BatistaDrasinHusainPersivalTse
BellEcksteinJohnsonPrinceVelasco
BurkeFernandezKimPuriWallance
CabreraFullmerMolinaRichardsWashburn
CallowayGandhiMorganRiderZabidi
DelluciGarciaMurphyRodriguezZhao
02

Part (a) Step 2: Concept

A simple random sample (SRS) of size is made up of npeople chosen from the population with an equal chance of being the sample that is actually chosen.

03

Part (a) Step 3: Explanation

Each student should be alphabetized from 01 to 40 Pick a starting point from the random number table. Make a list of two-digit numbers, skipping those that aren't between 01 and 40 or are repeats, until you have five distinct numbers between 01 and 40

04

Part (b) Step 1: Explanation

The random digit table will be used to select an SRS in a two-step process.

1) Alphabetically label each student from 1to 40Labels 01to 40have been added to the alphabetized list of students in the table below:

2) Using the database of random digits Start reading two-digit groupings from the left side of line 107Because our pupils are designated 01-40select the first 5unique numbers ranging from 01-40which will be selected kids. Because the same student cannot be selected more than once, if the number is repeated, use it just once.

Here is the beginning of the line 107:

Group the above digits to two digit numbers. We get:82739578902080747511816765530094383148936094072024

Our SRS of 5pilot students was chosen from the class:82,73,95,78,90,20,80,74,75,11,81,67,65,53,00,94,38,31,48,93,60,94,07,20,24

Johnson(20)

Drasin (11)

Washburn (38)

Rider (31)and Calloway (07)

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Most popular questions from this chapter

Baseball tickets Suppose you want to know the average amount of money spent by the fans attending opening day for the Cleveland Indians baseball season. You get permission from the team鈥檚 management to conduct a survey at the stadium, but they will not allow you to bother the fans in the club seating or box seats (the most expensive seating). Using a computer,

you randomly select 500 seats from the rest of the stadium. During the game, you ask the fans in those seats how much they spent that day.

(a) Provide a reason why this survey might yield a biased result.

(b) Explain whether the reason you provided in (a) is a sampling error or a non sampling error.

Each of the following is a source of error in a sample survey. Label each as sampling error or non sampling error, and explain your answers.

(a) The telephone directory is used as a sampling frame.

(b) The person cannot be contacted in five calls.

(c) Interviewers choose people walking by on the sidewalk to interview.

2. A survey paid for by makers of disposable diapers found that 84% of the sample opposed banning disposable diapers. Here is the actual question:

Systematic random sample Sample surveys often use a systematic random sample to choose a sample of apartments in a large building or housing units in a block at the last stage of a multistage sample. Here is a description of how to choose a systematic random sample. Suppose that we must choose 4 addresses out of 100 Because 100/4=25 we can think of the list as four lists of 25 addresses. Choose 1 of the first 25 addresses at random using Table D. The sample contains this address and the addresses 25,50, and 75 places down the list from it. If the table gives 13, for example, then the systematic random sample consists of the addresses numbered 13,38,63, and 88

(a) Use Table D to choose a systematic random sample of 5 addresses from a list of 200 Enter the table at line 120

(b) Like an SRS, a systematic random sample gives all individuals the same chance to be chosen. Explain why this is true. Then explain carefully why a systematic sample is not an SRS.

Prayer and meditation You read in a magazine that 鈥渘onphysical treatments such as meditation and prayer have been shown to be effective in controlled scientific studies for such ailments as high blood pressure, insomnia, ulcers, and asthma.鈥 Explain in simple language what the article means by 鈥渃ontrolled scientific studies.鈥 Why can such studies provide good evidence that meditation is an effective

treatment for high blood pressure?

Two essential features of all statistically designed experiments are

(a) comparing several treatments; use the double-blind method.

(b) compare several treatments; use the chance to assign subjects to treatments.

(c) always have a placebo group; use the double-blind method.

(d) use a block design; use the chance to assign subjects to treatments.

(e) use enough subjects; always have a control group.

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