Do you trust the Internet? You want to ask a sample of high school students the question “How much do you trust information about health that you find on the Internet—a great deal, somewhat, not much, or not at all?” 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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