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Sampling gravestones The local genealogical society in Coles County, Illinois, has compiled records on all 55,914 gravestones in cemeteries in the county from the years 1825 to 1985 Historians plan to use these records to learn about African Americans in Coles County鈥檚 history. They first choose an SRS of 395 records to check their accuracy by visiting the actual gravestones.13

(a) Explain how you would use technology or Table D to choose the SRS. Your description should be clear enough for a classmate to obtain your results.

(b) Use your method from (a) to choose the first 3 gravestones.

Short Answer

Expert verified

Part (a) You have 395 unique numbers between 00001 and 55914

Part (b) The first three gravestones are439092533040085

Step by step solution

01

Part (a) Step 1: Given information

From 1825 until 1985 the local genealogy organization in Coles Country, Illinois, maintained records on all 55,914 gravestones in the country's cemeteries. They chose an SRS of 395 records to double-check their accuracy by visiting the gravestones themselves.

02

Part (a) Step 2: Concept

Divide the population into smaller groups before taking a cluster sample. These groups should ideally reflect the population's features. Then pick one of the clusters' SRS. The sample includes all individuals in the designated clusters.

03

Part (a) Step 3: Explanation

From 00001 to 55914 write a number on each gravestone. Pick a starting point from the random number table. Count up to 395 5-digit numbers between 00001 and 55914 skipping those that aren't within 00001 and 55914 or are repetitions.

04

Part (b) Step 1: Calculation

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

1) Write 00001 to 55914 on each gravestone.

2) To use a random number table, begin reading five-digit groupings from the left-hand side of line 127 Because our gravestones are labeled from 00001 to 55914 select the first three unique numbers spanning from 00001 to 55914 which will be selected gravestones. The same gravestone cannot be selected more than once if the number is repeated and used only once.

Here is the beginning of line 127: 4390999477253306435940085169258511736071

The above digits are already grouped in 5 digit numbers.4390999477253306435940085

鉁 Skip 鉁 Skip 鉁

Too big Too big

As a result, the first three gravestones chosen are:439092533040085

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