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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

In a simple random sample of 1200 Americans age 20 and over, the proportion with diabetes was found to be \(0.115\) (or \(11.5 \%)\). a. What is the standard error for the estimate of the proportion of all Americans age 20 and over with diabetes? b. Find the margin of error, using a \(95 \%\) confidence level, for estimating this proportion. c. Report the \(95 \%\) confidence interval for the proportion of all Americans age 20 and over with diabetes. d. According to the Centers for Disease Control and Prevention, nationally, \(10.7 \%\) of all Americans age 20 or over have diabetes. Does the confidence interval you found in part c support or refute this claim? Explain.

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A recent Monmouth University poll found that 675 out of 1008 randomly selected people in the United States felt that college and universities with big sports programs placed too much emphasis on athletics over academics. Assuming the conditions for using the CLT were met, use the Minitab output provided to answer these questions. $$\begin{aligned}&\text { Descriptive Statistics }\\\&\begin{array}{rrrr}\mathrm{N} & \text { Event } & \text { Sample p } & 95 \% \mathrm{Cl} \text { for } \mathrm{p} \\\\\hline 1008 & 675 & 0.669643 & (0.639648,0.698643)\end{array}\end{aligned}$$ a. Complete this sentence: I am \(95 \%\) confident that the population proportion believing that colleges and universities with big sports programs place too much emphasis on athletics over academics is between _____ and _______. Report each number as a percentage rounded to one decimal place. b. Suppose a sports blogger wrote an article claiming that the majority of Americans believe that colleges and university with big sports programs place too much emphasis on athletics over academics. Does this confidence interval support the blogger's claim? Explain your reasoning.
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