Questions and Answers
What is the level of measurement for the ages of students in a statistics class?
ratio
Is the study of comparing the rate of depression among smokers and nonsmokers an observational study or an experiment?
observational study
What sampling technique is used when every fifth person boarding a plane is searched thoroughly?
systematic
What sampling technique is used when five statistics classes are randomly selected from twenty and all students from each class are interviewed?
Signup and view all the answers
What sampling technique is used based on 8,500 responses from 45,000 questionnaires sent to alumni?
Signup and view all the answers
The class width is ______.
Signup and view all the answers
The class midpoint of the first class is ______.
Signup and view all the answers
The class boundaries of the first class are ______.
Signup and view all the answers
Approximate the sample size from the given ogive data for leisure time of college students.
Signup and view all the answers
What percentage of women have pregnancies between 257 and 277 days using the empirical rule?
Signup and view all the answers
Approximate the sample mean for the speeds of the recorded cars.
Signup and view all the answers
Identify the potential outliers from the teaching experience data.
Signup and view all the answers
What is the difference between an outcome and an event in probability?
Signup and view all the answers
Which numbers could not represent the probability of an event? (Select all that apply)
Signup and view all the answers
The event 'tossing tails and rolling a 4 or 6' is a simple event.
Signup and view all the answers
What is the probability of selecting a 7 both times when selecting an integer from 0 to 24 and from 0 to 19?
Signup and view all the answers
What is the sample space when randomly choosing a number from the multiples of 5 between 21 and 49?
Signup and view all the answers
How many outcomes does Event A have when selecting the number 4 from numbers 1 to 9?
Signup and view all the answers
How many outcomes does Event B have when selecting a ten of diamonds from a deck of cards?
Signup and view all the answers
How many different meals are available with one appetizer, one entrée, and one dessert from the restaurant's menu?
Signup and view all the answers
Study Notes
Level of Measurement
- Ages of students in a statistics class is classified as ratio measurement.
Study Type
- An observational study was conducted comparing the depression rates of 100 smokers and 100 nonsmokers.
Sampling Techniques
- Systematic sampling: Every fifth person boarding a plane is thoroughly searched.
- Cluster sampling: At a community college, five statistics classes were randomly selected, and all students in each class were interviewed.
- Random sampling: A major university estimated its alumni's annual salary of $127,000 based on 8,500 responses from 45,000 questionnaires sent.
Frequency Distribution
- Class width for the given height classes is 3.
- The class midpoint of the first class (50-52) is 51.
- Class boundaries of the first class are 49.5 to 52.5.
Sample Size Approximation
- In a study on leisure time of college students, the sample size was approximately 80.
Empirical Rule
- In a bell-shaped distribution, 68% of women's pregnancies fall between 257 and 277 days, given a mean of 267 days and standard deviation of 10 days.
Speed Analysis
- The sample mean speed of 100 cars recorded at a highway checkpoint is 56.8 mph.
Outliers Identification
- Outliers in the teaching experience data include 1, 34, and 38 years.
Outcomes vs. Events
- An outcome is the result of a single probability experiment, while an event consists of one or more possible outcomes.
Probability Representation
- Probabilities must range between 0 and 1; therefore, -1.5 and 64/25 cannot represent probabilities.
Simple Events
- The statement regarding tossing tails and rolling a 4 or 6 is false, as it includes multiple possible outcomes.
Probability Calculation
- The probability of selecting the number 7 twice, once from integers 0 to 24 and again from 0 to 19, is 0.02.
Sample Space
- For randomly choosing a multiple of 5 between 21 and 49, the sample space contains 25, 30, 35, 40, and 45, totaling 5 outcomes.
Event Outcomes
- Event A, selecting the number 4 between 1 and 9, has 1 outcome and is classified as a simple event.
- Event B, selecting a ten of diamonds from a standard deck of 52 cards, also has 1 outcome and is a simple event.
Meal Combinations
- A restaurant with 7 appetizer choices, 11 entrée choices, and 5 dessert choices offers 385 different meal combinations.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of statistical concepts and measurement levels with these flashcards. Each card challenges you to identify key aspects of statistics, from levels of measurement to study types. Perfect for students looking to reinforce their understanding of statistics.
