/*! 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 9 Identify the type of sampling us... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 9

Identify the type of sampling used. To estimate the percentage of defects in a recent manufacturing batch, a quality-control manager at Intel selects every 8 th chip that comes off the assembly line starting with the 3rd until she obtains a sample of 140 chips.

Short Answer

Expert verified
Systematic Sampling

Step by step solution

01

- Understand the Problem

The problem requires identifying the type of sampling method used by the quality-control manager. Let's review the given process: selecting every 8th chip starting with the 3rd until 140 chips are sampled.
02

- Review the Sampling Methods

Consider the common types of sampling methods: Simple Random Sampling, Systematic Sampling, Stratified Sampling, Cluster Sampling, and Convenience Sampling. Each method has specific characteristics.
03

- Identify Key Features

Note the sequence in the problem: every 8th chip starting from the 3rd chip. This indicates a regular interval, which is a hallmark of Systematic Sampling.
04

- Match with Systematic Sampling

In Systematic Sampling, a sample is obtained by selecting every k-th element from a list, where k is a constant interval. Here, every 8th chip fits this method perfectly.
05

- Conclude the Sampling Method

Based on the details and the interval used, the sampling method is identified as Systematic Sampling.

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.

sampling methods
To measure various aspects in statistics, it is crucial to choose the right sampling method. Different types of sampling methods serve unique purposes and have specific features.

Some of the most popular sampling methods include:
  • Simple Random Sampling: Every member of the population has an equal chance of being selected.
  • Stratified Sampling: The population is divided into distinct strata, and samples are randomly taken from each stratum.
  • Cluster Sampling: The population is divided into clusters, often geographically. Entire clusters are randomly selected.
  • Systematic Sampling: Elements are selected at regular intervals from an ordered list, beginning from a random starting point.
  • Convenience Sampling: Samples are taken from a group that is easy to access, but this method can introduce bias.

In our exercise, the quality-control manager uses Systematic Sampling to select every 8th chip from the assembly line, starting with the 3rd chip.
quality control
Quality control is essential in manufacturing to ensure products meet required standards. By systematically checking and assessing products, companies can identify and mitigate defects.

In our example, the quality-control manager at Intel uses a systematic approach to sample chips. This method offers several benefits:
  • Efficiency: Systematic sampling is easier and less time-consuming than random sampling.
  • Consistency: Checking every k-th item ensures a consistent interval and coverage.
  • Data Reliability: Obtaining a representative sample improves the reliability of quality assessments.

The method used provides a clear, structured way to track product quality and identify issues early, preventing defective products from reaching customers.
statistics education
Understanding sampling methods is a fundamental aspect of statistics education. It forms the basis for more complex statistical analyses and ensures that data collected is representative.

When you learn about sampling methods like Systematic Sampling, you acquire skills that are vital in real-world applications, such as quality control.

This knowledge helps you:
  • Choose the correct sampling technique for different scenarios
  • Understand the pros and cons of each method
  • Ensure the reliability and validity of your data

Educators emphasize these concepts to prepare students for careers in data-driven fields, enhancing their problem-solving and critical thinking abilities.
systematic pattern
Systematic patterns are present in Systematic Sampling and other processes that follow a repetitive, ordered sequence. This approach ensures simplicity and structure in sample collection.

In the exercise, selecting every 8th chip creates a systematic pattern, making it easier to manage and execute the sampling process. The pattern also:
  • Reduces Bias: By using a fixed interval, it minimizes selection bias.
  • Increases Coverage: Regular intervals help ensure that the sample evenly covers the population.
  • Facilitates Replication: The process is straightforward to replicate, enhancing reliability.

Recognizing and using systematic patterns is crucial in many statistical applications. It helps streamline processes and provides clarity and ease in data handling.

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

Identify the type of sampling used. To determine customer opinion of their boarding policy, Southwest Airlines randomly selects 60 flights during certain week and surveys all passengers on the flights.

Classify the variable as qualitative or quantitative. Number of siblings

To help assess student learning in her developmental math courses, a mathematics professor at a community college implemented pre- and posttests for her developmental math students. A knowledge-gained score was obtained by taking the difference of the two test scores. (a) What type of experimental design is this? (b) What is the response variable in this experiment? (c) What is the treatment?

Identify the type of sampling used. A farmer divides his orchard into 50 subsections, randomly selects \(4,\) and samples all the trees within the 4 subsections to approximate the yield of his orchard.

Researchers wanted to evaluate whether ginkgo, an over-the-counter herb marketed as enhancing memory, improves memory in elderly adults as measured by objective tests. To do this, they recruited 98 men and 132 women older than 60 years and in good health. Participants were randomly assigned to receive ginkgo, \(40 \mathrm{mg} 3\) times per day, or a matching placebo. The measure of memory improvement was determined by a standardized test of learning and memory. After 6 weeks of treatment, the data indicated that ginkgo did not increase performance on standard tests of learning, memory, attention, and concentration. These data suggest that, when taken following the manufacturer's instructions, ginkgo provides no measurable increase in memory or related cognitive function to adults with healthy cognitive function. (Source: "Ginkgo for Memory Enhancement," Paul R. Solomon, et. al.; Journal of the American Medical Association 288(2002): 835-840)$ (a) What type of experimental design is this? (b) What is the population being studied? (c) What is the response variable in this study? (d) What is the factor? What are the treatments? (e) Identify the experimental units. (f) Draw a diagram similar to Figure 6 or 7 to illustrate the design.
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Theoretical and Mathematical Physics

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.