/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 7 Determine whether the sampling i... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Problem 7

Determine whether the sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative. An educator wants to determine whether a new curriculum significantly improves standardized test scores for third grade students. She randomly divides 80 third-graders into two groups. Group 1 is taught using the new curriculum, while group 2 is taught using the traditional curriculum. At the end of the school year, both groups are given the standardized test and the mean scores are compared.

Short Answer

Expert verified
The sampling is independent, and the response variable is quantitative.

Step by step solution

01

Title - Identify the sampling type

First, determine if the sampling method used is dependent or independent. In this scenario, 80 third-grade students are randomly divided into two groups: one taught with the new curriculum and the other with the traditional curriculum. Since the groups are composed of different students with no pairing or matching between the groups, the samples are independent.
02

Title - Determine the response variable type

Next, identify whether the response variable is qualitative or quantitative. The response variable in this scenario is the standardized test scores of third-grade students. Since test scores are numerical and can be measured, they are quantitative in nature.

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 91影视!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

dependent vs independent sampling
Sampling methods are crucial in research to ensure data accuracy and reliability. Understanding whether a study employs dependent or independent sampling helps in interpreting the results correctly.

In the given scenario, we have 80 third-grade students randomly divided into two groups: one using the new curriculum and the other using the traditional curriculum. Here, each group consists of different students with no direct relation between individuals in each group. This means there is no pairing or matching of students between the groups. As a result, the sampling method used is independent sampling.

If the same students were measured before and after the new curriculum, or if students were paired based on some criterion, it would represent dependent sampling. Independent sampling provides more varied perspectives since it evaluates different sets of individuals without overlap.
quantitative response variable
The next important concept is identifying the type of response variable in a study鈥攓ualitative or quantitative.

In the given example, the educator wants to determine if a new curriculum affects standardized test scores. Here, the response variable is the students鈥� test scores. These scores are numerical and can be measured, making them quantitative.

Quantitative variables, unlike qualitative variables, are measured on a numeric scale. Examples of quantitative variables include height, weight, age, and test scores. Understanding the type of response variable is essential since it influences the choice of statistical methods used to analyze the data.
educational curriculum assessment
Assessing educational curricula involves comparing different teaching methods to identify the most effective approach.

In our example, an educator wants to evaluate if a new curriculum improves third graders鈥� standardized test scores compared to a traditional curriculum.

The assessment process includes:
  • Dividing students randomly into two groups to ensure unbiased results
  • Teaching one group with the new curriculum and the other with the traditional curriculum
  • Administering the same standardized test at the end of the school year to both groups
  • Comparing the mean scores of both groups to determine the impact

This method helps educators and policymakers decide whether to adopt new teaching strategies.鈥潁

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

Elapsed Time to Earn a Bachelor's Degree A researcher with the Department of Education followed a cohort of students who graduated from high school in \(1992,\) monitoring the progress the students made toward completing a bachelor's degree. One aspect of his research was to determine whether students who first attended community college took longer to attain a bachelor's degree than those who immediately attended and remained at a 4-year institution. The data in the table summarize the results of his study. $$ \begin{array}{lcc} & \begin{array}{l} \text { Community College } \\ \text { to Four-Year Transfer } \end{array} & \text { No Transfer } \\ \hline n & 268 & 1145 \\ \hline \begin{array}{l} \text { Sample mean time to } \\ \text { graduate, in years } \end{array} & 4.43 \\ \hline \begin{array}{l} \text { Sample standard } \\ \text { deviation time to } \\ \text { graduate, in years } \end{array} & 1.162 & 1.015 \\ \hline \end{array} $$ (a) What is the response variable in this study? What is the explanatory variable? (b) Explain why this study can be analyzed using the methods of this section. (c) Does the evidence suggest that community college transfer students take longer to attain a bachelor's degree? Use an \(\alpha=0.01\) level of significance. (d) Construct a \(95 \%\) confidence interval for \(\mu\) community college \(\mu_{\text {no transfer }}\) to approximate the mean additional time it takes to complete a bachelor's degree if you begin in community college. (e) Do the results of parts (c) and (d) imply that community college causes you to take extra time to earn a bachelor's degree? Cite some reasons that you think might contribute to the extra time to graduate.

Determine whether the sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative. The Gallup Organization asked 1050 randomly selected adult Americans age 18 or older who consider themselves to be religious, 鈥淒o you believe it is morally acceptable or morally wrong [rotated] to conduct medical research using stem cells obtained from human embryos?鈥� The same question was asked to 1050 randomly selected adult Americans age 18 or older who do not consider themselves to be religious. The goal of the study was to determine whether the proportion of religious adult Americans who believe it is morally wrong to conduct medical research using stem cells obtained from human embryos differed from the proportion of non-religious adult Americans who believe it is morally wrong to conduct medical research using stem cells obtained from human embryos.

In an experiment conducted online at the University of Mississippi, study participants are asked to react to a stimulus. In one experiment, the participant must press a key on seeing a blue screen and reaction time (in seconds) to press the key is measured. The same person is then asked to press a key on seeing a red screen, again with reaction time measured. The results for six randomly sampled study participants are as follows: $$ \begin{array}{lcccccc} \text { Participant } & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} & \mathbf{5} & \mathbf{6} \\ \hline \text { Blue } & 0.582 & 0.481 & 0.841 & 0.267 & 0.685 & 0.450 \\ \hline \text { Red } & 0.408 & 0.407 & 0.542 & 0.402 & 0.456 & 0.533 \\ \hline \end{array} $$ (a) Why are these matched-pairs data? (b) In this study, the color that the participant was first asked to react to was randomly selected. Why is this a good idea in this experiment? (c) Is the reaction time to the blue stimulus different from the reaction time to the red stimulus at the \(\alpha=0.01\) level of significance? Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers. (d) Construct a \(99 \%\) confidence interval about the population mean difference. Interpret your results. (e) Draw a boxplot of the differenced data. Does this visual evidence support the results obtained in part (c)?

The manufacturer of hardness testing equipment uses steel-ball indenters to penetrate a metal that is being tested. However, the manufacturer thinks it would be better to use a diamond indenter so that all types of metal can be tested. Because of differences between the two types of indenters, it is suspected that the two methods will produce different hardness readings. The metal specimens to be tested are large enough so that two indentions can be made. Therefore, the manufacturer uses both indenters on each specimen and compares the hardness readings. Construct a \(95 \%\) confidence interval to judge whether the two indenters result in different measurements. $$ \begin{array}{lccccccccc} \text { Specimen } & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} & \mathbf{5} & \mathbf{6} & \mathbf{7} & \mathbf{8} & \mathbf{9} \\ \hline \text { Steel ball } & 50 & 57 & 61 & 71 & 68 & 54 & 65 & 51 & 53 \\ \hline \text { Diamond } & 52 & 56 & 61 & 74 & 69 & 55 & 68 & 51 & 56 \end{array} $$ Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.

College Skills The Collegiate Learning Assessment Plus (CLA+) is an exam that is meant to assess the intellectual gains made between one's freshman and senior year of college. The exam, graded on a scale of 400 to 1600 , assesses critical thinking, analytical reasoning, document literacy, writing, and communication. The exam was administered to 135 freshman in Fall 2012 at California State University Long Beach (CSULB). The mean score on the exam was 1191 with a standard deviation of 187 . The exam was also administered to graduating seniors of CSULB in Spring 2013. The mean score was 1252 with a standard deviation of \(182 .\) Explain the type of analysis that could be applied to these data to assess whether CLA+ scores increase while at CSULB. Explain the shortcomings in the data available and provide a better data collection technique.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation
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.