Textbook Question
Discrete/Continuous Data Which of the following describe discrete data
c. The exact times that randomly selected students spend on smart phones during the preceding week
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Ch. 1 - Introduction to Statistics
Triola14th EditionElementary StatisticsISBN: 9780137366446
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Table of contents
- Ch. 1 - Introduction to Statistics88
- Ch. 2 - Exploring Data with Tables and Graphs70
- Ch. 3 - Describing, Exploring, and Comparing Data66
- Ch. 4 - Probability112
- Ch. 5 - Discrete Probability Distributions109
- Ch. 6 - Normal Probability Distributions122
- Ch. 7 - Estimating Parameters and Determining Sample Sizes107
- Ch. 8 - Hypothesis Testing75
- Ch. 9 - Inferences from Two Samples94
- Ch. 10 - Correlation and Regression80
- Ch. 11 - Goodness-of-Fit and Contingency Tables29
- Ch. 12 - Analysis of Variance42
Chapter 1, Problem 1.3.8b
Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.
b. Systematic sample
Verified step by step guidance1
Identify the total number of students in your statistics class, which will be the population size (N).
Determine the sample size you need, which in this case is six students.
Calculate the sampling interval (k) by dividing the population size (N) by the sample size (n). Use the formula: . Round down to the nearest whole number if necessary.
Select a random starting point from the first k students. This can be done by using a random number generator to pick a number between 1 and k.
Select every k-th student from the starting point to form your sample of six students. Continue this process until you have selected all six students.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Systematic Sampling
Systematic sampling is a method where you select every k-th element from a list or sequence. To implement this, you first determine the sampling interval k by dividing the population size by the desired sample size. Then, you randomly select a starting point within the first k elements and continue selecting every k-th element thereafter to form your sample.
Recommended video:
05:11
Sampling Distribution of Sample Proportion
Population and Sample
In statistics, the population refers to the entire group of individuals or instances about whom we want to draw conclusions, while a sample is a subset of the population that is used to represent the whole. In this context, the population is all students in the statistics class, and the sample is the six students selected using the systematic sampling method.
Recommended video:
05:11Sampling Distribution of Sample Proportion
Random Start
A random start is crucial in systematic sampling to ensure that the sample is unbiased and representative of the population. This involves randomly selecting a starting point within the first k elements of the population list, which helps in avoiding any periodic patterns that might exist in the population data, thus maintaining the randomness of the sample.
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Guided course
07:09Intro to Random Variables & Probability Distributions
Related Practice
Textbook Question
E-Cigarette Survey In a survey of 36,000 adults, 3.7% said that they regularly use E-cigarettes (based on data from the National Center for Health Statistics).
a. Identify the sample and population.
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Textbook Question
Countable For each of the following, categorize the nature of the data using one of these three descriptions: (1) discrete because the number of possible values is finite; (2) discrete because the number of possible values is infinite but countable; (3) continuous because the number of possible values is infinite and not countable.
a. Exact lengths of the feet of members of the band the Monkees
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Textbook Question
Countable For each of the following, categorize the nature of the data using one of these three descriptions: (1) discrete because the number of possible values is finite; (2) discrete because the number of possible values is infinite but countable; (3) continuous because the number of possible values is infinite and not countable.
c. The number of albums sold by the Monkees band
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Textbook Question
Simple Random Sample vs. Random Sample Refer to the definition of simple random sample here and its accompanying definition of random sample enclosed within parentheses. Determine whether each of the following is a simple random sample and a random sample.
a. In Major League Baseball, there are 30 teams, each with an active roster of 25 players. The names of the teams are printed on 30 separate index cards, the cards are shuffled, and one card is drawn. The sample consists of the 25 players on the active roster of the selected team.
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Textbook Question
Sampling Method Assume that the population consists of all students currently in your statistics class. Describe how to obtain a sample of six students so that the result is a sample of the given type.
c. Stratified sample
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