Statistics Unit 1 & 2 Quiz

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Questions and Answers

Which of the following is NOT a requirement for a situation to be modeled with a binomial random variable?

The trials must be independent.

The trials must be random and unpredictable. (correct)

There must be two possible outcomes.

Each trial must have the same probability of success.

Which of the following correctly describes a situation where a binomial random variable is applicable?

Recording the favorite color of a group of people.

Tossing a coin multiple times and recording the number of heads. (correct)

Measuring the height of a group of students.

Calculating the average score of a basketball team over multiple games.

In a symmetric distribution, which measure of spread is most appropriate to use?

Standard deviation (correct)

Variance

Range

Mean

What should be observed in a residual plot to indicate that a model is a good fit?

A random scatter of points around zero. Signup and view all the answers

What is the purpose of a randomized block design in an experiment?

To identify and control the effect of specific variables within the blocks. Signup and view all the answers

What information can you determine from a stem and leaf plot?

Shape of the data distribution Signup and view all the answers

How does adding a value greater than the current mean affect the mean?

The mean will increase Signup and view all the answers

When comparing two groups using summary statistics, which measure indicates spread?

Standard deviation Signup and view all the answers

What is the first step in finding the standard deviation if given a mean and a percentile?

Calculate the z-score using the inverse normal distribution Signup and view all the answers

What does a high leverage point affect in a scatterplot's least squares regression line?

The LSRL significantly Signup and view all the answers

In a segmented bar graph, what can you calculate based on the lengths of segments?

Approximate percentage representation of categories Signup and view all the answers

Which method is effective in determining a good fit versus a bad fit in a residual plot?

Distribution pattern of residuals Signup and view all the answers

When analyzing a dot plot and summary statistics, what does a box plot primarily display?

Five-number summary of the data Signup and view all the answers

What defines an observational study?

Random samples are selected from the population. Signup and view all the answers

Which sampling method is best when the population can be divided into distinct subgroups?

Stratified sample Signup and view all the answers

What are the consequences of using a convenience sample?

Potential for significant bias. Signup and view all the answers

What is the requirement for a well-designed experiment?

Treatment conditions should be imposed. Signup and view all the answers

Which of the following represents a complete probability distribution?

P(A) = 0.5, P(B) = 0.4, P(A and B) = 0.1 Signup and view all the answers

If we know the mean of two random variables, G and H, how do we find the mean of their sum T = G + H?

Add the means of G and H. Signup and view all the answers

What is the proper way to calculate a conditional probability using a two-way table?

Divide the count of the condition of interest by the total of the marginal total. Signup and view all the answers

Which statement best describes a cluster sample?

The population is divided into groups, and entire groups are selected. Signup and view all the answers

Study Notes

Unit 1 Notes – One Variable Data

Understand how to read a stem and leaf plot
Describe the distribution of a stem and leaf plot
Compare the mean, median, and mode on a stem and leaf plot

CED 1.7 Summary Statistics for a Quantitative Variable

Given summary statistics for two groups, compare the two groups
Know the effect of adding a value on the mean and standard deviation
Identify intervals containing the first quartile from a histogram
Given a dot plot and summary statistics find the box plot that matches

CED 1.9 Comparing Distributions of a Quantitative Variable

Compare distributions (variability, spread, standard deviation, IQR, range) given summary statistics for two groups

CED 1.10 The Normal Distribution

Given the mean and percentile of a normal distribution, find the standard deviation (using inverse normal/z-score first)

Unit 2 Notes - Two Variable Data

Find approximate percentages given segmented bar graphs

CED 2.7 Residuals

Determine good fit/bad fit from residual plots

CED 2.5 Correlation

Given a scatterplot, calculate "r", and the impact of adding a point on the correlation value. The least squares regression line uses the mean.

CED 2.8 Least Squares Regression

Impact of high and low leverage points on the least squares regression line (LSRL)

Unit 3 Notes – Collecting Data

CED 3.2 Intro to Planning a Study

Determine whether a study is observational or experimental
Understand observational studies (can't determine causal relationships)
Understand experiments (determine causal relations based on designed treatments)

CED 3.3 Randomly Sampling and Data Collection

Recognize sampling types (simple random, stratified, cluster, multistage, convenience) and their appropriate use
Use random digit tables for sampling

CED 3.4 Potential Problems with Sampling

Know potential sampling biases

CED 3.5 Introduction to Experimental Design

Define well-designed experiments

Unit 4 Notes - Probability

Create and complete Venn diagrams
Understand probability distributions total 1
Find missing quantities in probability distributions
Conditional probabilities using two way tables
Combining multiple random variables and means
Understand circumstances that follow a binomial distribution

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Description

Test your understanding of one-variable and two-variable data statistics. This quiz covers stem and leaf plots, summary statistics, distribution comparisons, and the normal distribution. Hone your skills in interpreting graphs and comparing quantitative variables.