Which sampling method was used in each of the following settings, in order from I to IV?

I. A student chooses to survey the first 20 students to arrive at school.

II. The name of each student in a school is written on a card, the cards are well mixed, and 10 names are drawn.

III. A state agency randomly selects 50 people from each of the state’s senatorial districts.

IV. A city council randomly selects eight city blocks and then surveys all the voting-age residents on those blocks.

a. Voluntary response, SRS, stratified, cluster

b. Convenience, SRS, stratified, cluster

c. Convenience, cluster, SRS, stratified

d. Convenience, SRS, cluster, stratified

e. Cluster, SRS, stratified, convenience

Short Answer

Expert verified

The correct answer is option (b) Convenience, SRS, stratified, cluster.

Step by step solution

01

Concept introduction

In quantitative tests, segmentation is the technique of selecting a predefined dataset from a huge population. Vary based on the type of assessment being undertaken, the measures taken to recruit from a general community may include simple chance picking or multi - stage sampling.

02

Explanation

In each of the following settings, from I to IV, we need to know which sampling method was utilised.

Because the first twenty students are conveniently chosen, the convenience sample or voluntary response sample is employed in I statement. Because every individual has an equal probability of being chosen, a simple random sample is utilised in the second assertion.

Because the states are the independent subgroups, stratified random sampling is used in the Ill statement.

Cluster sampling is employed in the IV statement because the subgroups are city blocks. As a result, option (b) is the proper option based on the order of sampling methods employed in the statements.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A survey firm wants to ask a random sample of adults in Ohio if they support an increase in the state sales tax from 5.75%to 6%, with the additional revenue going to education. Let p^denote the proportion in the sample who say that they support the increase. Suppose that 40%of all adults in Ohio support the increase. If the survey firm wants the standard deviation of the sampling distribution of p^to equal 0.01,how large a sample size is needed?

a.1500

b. 2400

c.2401

d.2500

e.9220

Beer and BAC How well does the number of beers a person drinks predict his or her blood alcohol content (BAC)? Sixteen volunteers aged 21or older with an initial BAC of 0took part in a study to find out. Each volunteer drank a randomly assigned number of cans of beer. Thirty minutes later, a police officer measured their BAC. A least-squares regression analysis was performed on the data using x=number of beers and y=BAC. Here is a residual plot and a histogram of the residuals. Check whether the conditions for performing inference about the regression model are met.

Nicole and Elena wanted to know if listening to music at a louder volume negatively impacts test performance. To investigate, they recruited 30volunteers and randomly assigned 10volunteers to listen to music at 30decibels, 10volunteers to listen to music at 60decibels, and 10volunteers to listen to music at 90decibels. While listening to the music, each student took a 10-question math test. Here is computer output from a least-squares regression analysis using role="math" localid="1654167255833" x=volumeand y=numbercorrect:

PredictorCoefSECoefTPConstant9.90000.752513.1560.0000Volume0.04830.01164.1630.0003S=1.55781R-Sq=38.2%R-Sq(adj)=36.0%

Is there convincing evidence that listening to music at a louder volume hurts test performance? Assume the conditions for inference are met.

Brawn versus brain How is the weight of an animal’s brain related to the weight of its body? Researchers collected data on the brain weight (in grams) and body weight (in Page Number: 813 Page Number: 814 kilograms) for 96species of mammals. The following figure is a scatterplot of the logarithm of brain weight against the logarithm of body weight for all 96species. The least-squares regression line for the transformed data is

logy=1.01+0.72logxlogy^=1.01+0.72logx

Based on footprints and some other sketchy evidence, some people believe that a large ape-like animal, called Sasquatch or Bigfoot, lives in the Pacific Northwest. Bigfoot’s weight is estimated to be about 127kilograms (kg). How big do you expect Bigfoot’s brain to be?

Braking distance How is the braking distance for a motorcycle related to the speed at which the motorcycle was traveling when the brake was applied? Statistics teacher Aaron Waggoner gathered data to answer this question. The table shows the speed (in miles per hour) and the distance needed to come to a complete stop when the brake was applied (in feet).

Speed (mph)Distance (ft)Speed (mph)Distance (ft)61.423252.0894.924084191848110.333044.75

a. Transform both variables using logarithms. Then calculate and state the least-squares regression line using the transformed variables.

b. Use the model from part (a) to calculate and interpret the residual for the trial when the motorcycle was traveling at 48 mph.

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free