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Chapter 7: Problem 19

Assume your class has 30 students and you want a random sample of 10 of them. Describe how to randomly select 10 people from your class using the random number table.

Short Answer

Expert verified
To sample 10 students from a class of 30 using a Random Number Table: Assign each student a unique number from 01 to 30. Using the table, select two-digit numbers from a chosen starting point. Pick only numbers in the range of 01-30. Ignore numbers that fall outside the range or represent already-selected students. Continue until 10 unique students are selected.

Step by step solution

01

Assign Numbers to Each Student

First, each student in the class needs to be assigned a unique number. This can be done by assigning numbers 01 to 30 to each of the students. It's important to use two digits for all numbers, so that each student can be represented by a distinct two-digit number.
02

Use Random Number Table

A Random Number Table is then employed. A Random Number Table is a series of digits (0-9) arranged randomly in each row and column. Any starting point can be selected in the table, then continue in a set direction (up, down, left, right, or diagonally).
03

Select Random Numbers

From the chosen starting point, two-digit numbers are selected, retaining only those that fall in the range of 01-30. Each valid two-digit number represents a student in the class.
04

Continue Until Sample Is Complete

The selection of two-digit numbers is continued until a sample of 10 unique students is obtained. If a number outside the range appears or a number for a student who is already selected appears (a duplicate), it is ignored and the next two-digit number is chosen instead.

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Most popular questions from this chapter

The Perry Preschool Project was created in the early 1960 s by David Weikart in Ypsilanti, Michigan. In this project, 123 African American children were randomly assigned to one of two groups: One group enrolled in the Perry Preschool, and one group did not enroll. Follow-up studies were done for decades. One research question was whether attendance at preschool had an effect on high school graduation. The table shows whether the students graduated from regular high school or not and includes girls only (Schweinhart et al. 2005). $$\begin{array}{lcc}\hline & \text { Preschool } & \text { No Preschool } \\\\\hline \text { HS Grad } & 21 & 8 \\ \text { No HS Grad } & 4 & 17\end{array}$$ a. Find the percentages that graduated for both groups, and compare them descriptively. Does this suggest that preschool was associated with a higher graduation rate? b. Which of the conditions fail so that we cannot use a confidence interval for the difference between proportions?

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