교과서 질문
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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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
1장, 문제 1.3.37a
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.
검증된 단계별 안내1
Understand the definition of a simple random sample: A simple random sample (SRS) is a subset of a statistical population in which each member of the subset has an equal probability of being chosen. An SRS is meant to be an unbiased representation of a group.
Understand the definition of a random sample: A random sample is a sample that is chosen randomly from the population, but it does not necessarily mean that each member of the population has an equal chance of being selected.
Analyze the given scenario: In this problem, there are 30 teams, each with 25 players. The names of the teams are printed on index cards, shuffled, and one card is drawn. The sample consists of the 25 players from the selected team.
Determine if the sample is a simple random sample: Since only one team is selected and all players from that team are included, not every player in the league has an equal chance of being selected. Therefore, this is not a simple random sample.
Determine if the sample is a random sample: The selection of the team is random, as it is based on shuffling and drawing a card. Therefore, this is a random sample, but not a simple random sample.
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주요 개념
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Simple Random Sample
A simple random sample is a subset of a statistical population where each member of the subset has an equal probability of being chosen. This means that every possible sample of the same size has the same chance of being selected. It ensures that the sample is unbiased and representative of the entire population.
추천 영상:
05:11
Sampling Distribution of Sample Proportion
Random Sample
A random sample is a sample that is selected from a population in such a way that each member of the population has a known, non-zero chance of being included. Unlike a simple random sample, the probabilities may not be equal, but randomness is still a key feature to avoid bias in the selection process.
추천 영상:
05:11Sampling Distribution of Sample Proportion
Sampling Method
The sampling method refers to the process used to select individuals from the population to be included in the sample. In the context of the question, the method involves shuffling index cards representing teams and drawing one, which affects whether the sample is simple random or just random, based on the equal probability criterion.
추천 영상:
05:11Sampling Distribution of Sample Proportion
관련 실천
교과서 질문
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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교과서 질문
State Populations Currently, California has the largest population with 39,776,830 residents, and Wyoming has the smallest population with 573,520 residents.
e. If we randomly select two states and survey all of their adult residents, what type of sample is obtained? (random, systematic, convenience, stratified, cluster)
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교과서 질문
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
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교과서 질문
Reported Versus Measured In a survey of 1046 adults conducted by Bradley Corporation, subjects were asked how often they wash their hands when using a public restroom, and 70% of the respondents said “always.”
a) Identify the sample and the population.
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교과서 질문
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.
a. Simple random sample
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