/*! 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 33 Describe the sample and describe... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 1: Problem 33

Describe the sample and describe a reasonable population. Five hundred Canadian adults are asked if they are proficient on a musical instrument.

Short Answer

Expert verified
The sample is the 500 Canadian adults surveyed. The reasonable population for this context could be all adults living in Canada.

Step by step solution

01

Identify the Sample

The sample here refers to 'Five hundred Canadian adults who have been asked if they are proficient on a musical instrument.' This group was selected and surveyed for this particular study.
02

Suggest the Reasonable Population

The population here, inferred from the context, could be 'All Canadian adults'. As the survey seems interested in the musical proficiency of Canadian adults, it is reasonable to assume that the complete target population consists of all adults residing in Canada. This group represents the broader category from which our sample of 500 adults has been drawn.

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.

Population and Sample
When conducting a survey or a study, it's crucial to differentiate between a population and a sample. The population is the entire set of individuals or items that you want to learn about, whereas a sample is a subset of that population, chosen for the actual study.

In the given exercise, the sample is clearly defined as the 500 Canadian adults who were asked about their musical proficiency. They represent a smaller, more manageable group that helps provide insights without needing to ask every Canadian adult.
  • The Population: All Canadian adults. This is the hypothetical group that the study aims to understand.
  • The Sample: The 500 Canadian adults who answered the survey. They provide the data needed to make inferences about the larger group.
By using a sample, researchers can save time and resources while still gaining valuable insights into the broader population.
Survey Analysis
Survey analysis is the process of collecting, processing, and interpreting data from a survey. The goal is to draw conclusions about the population based on the sample data. In our scenario with Canadian adults, the researchers would analyze the responses from the 500 participants to estimate musical proficiency trends among all Canadian adults.

There are several key steps in survey analysis:
  • Data Collection: Gathering responses from the selected sample, as done with the 500 adults.
  • Data Processing: Organizing the collected data to ensure it's in a usable format.
  • Data Analysis: Using statistical methods to interpret the data and draw conclusions.
  • Inference: Applying the results from the sample to make predictions about the entire population.
This method allows for informed conclusions about a large group based on a smaller, yet representative sample. Proper survey analysis can provide accurate reflections of the larger group's characteristics.
Musical Proficiency Study
Understanding musical proficiency through a study involves several layers of interpretation. In our scenario, the focus is on determining how many Canadian adults consider themselves proficient at playing a musical instrument.

To achieve accurate findings, the study would require:
  • Defining Proficiency: Clarifying what being "proficient" means. Is it based on self-assessment, or are there set standards?
  • Method of Survey: Choosing whether the survey is conducted via interviews, online questionnaires, or another method.
  • Sampling Technique: Ensuring that the 500 adults chosen constitute a representative sample of the diverse Canadian adult population.
  • Data Analysis: Examining the responses to assess proficiency rates and possible influences like age, region, or education.
This type of study helps in not only understanding current proficiency levels but also in identifying areas for improvement in musical education across Canada.

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

Canadians Stream Music In a random sample of 3500 Canadian consumers, about \(71 \%\) report that they regularly stream music. \(^{25}\) (a) Is the sample likely to be representative of all Canadian consumers? Why or why not? (b) Is it reasonable to generalize this result and estimate that about \(71 \%\) of all Canadian consumers regularly stream music?

Diet Cola and Weight Gain in Rats A study \(^{32}\) fed one group of rats a diet that included yogurt sweetened with sugar, and another group of rats a diet that included yogurt sweetened with a zerocalorie artificial sweetener commonly found in diet cola. The rats that were fed a zero-calorie sweetener gained more weight and more body fat compared to the rats that were fed sugar. After the study was published, many news articles discussed the implication that people who drink diet soda gain more weight. Explain why we cannot conclude that this is necessarily true.

To examine whether playing music in a store increases the amount customers spend, we randomly assign some stores to play music and some to stay silent and compare the average amount spent by customers.

State whether or not the sampling method described produces a random sample from the given population. The population is adults between the ages of 18 and 22. A sample of 100 students is collected from a local university, and each student at the university had an equal chance of being selected for the sample.

The Hardee's Restaurant chain has about 1900 quickserve restaurants in 30 US states and 9 countries. \(^{33}\) Suppose that a member of the Hardee's administration wishes to visit six of these restaurants, randomly selected, to gather some first-hand data. Suppose the restaurants are numbered 1 to 1900 . Use a random-number generator or table to select the numbers for 6 of the restaurants to be in the sample.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

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.