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1,001 statistics practice problems for dummies

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概要 1001 practice statistics problems with answers and solution explanations.
目次 pt. I. The questions
1. Basic vocabulary
Picking out the population, sample, parameter, and statistic
Distinguishing quantitative and categorical variables
Getting a handle on bias, variables and the mean
Understanding different statistics and data analysis terms
Using statistical techniques
Working with the standard deviation
2. Descriptive statistics
Understanding the mean and the median
Surveying standard deviation and variance
Employing the Empirical Rule
Measuring relative standing with percentiles
Delving into data sets and descriptive statistics
3. Graphing
Interpreting pie charts
Considering three-dimensional pie charts
Interpreting bar charts
Introducing other graphs
Interpreting histograms
Describing the center of a distribution
Interpreting box plots
Interpreting time charts
4. Random variables and the binomial distribution
Comparing discrete and continuous random variables
Understanding the probability distribution of a random variable
Determining the mean of a discrete random variable
Working with the variance of a discrete random variable
Putting together the mean, variance, and standard deviation of a random variable
Introducing binomial random variables
Figuring out the mean, variance, and standard deviation of a binomial random variable
Finding binomial probabilities with a formula
Finding binomial probabilities with the binomial table
Using the normal approximation to the binomial
5. The normal distribution
Working with z-Scores and values of X
Writing probability notations
Introducing the Z-Table
Finding probabilities for a normal distribution
Digging deeper into z-Scores and probabilities
Figuring out percentiles for a normal distribution
6. The t-Distribution
Understanding the t-Distribution and comparing it to the Z-Distribution
Using the t-Table
Using the t-Distribution to calculate confidence intervals
7. Sampling distribution and the central limit theorem
The basics of sampling distributions
checking out random variables and sample means
Examining standard error
Surveying notation and symbols
Understanding what affects standard error
Connecting sample means and sampling distributions
Looking at the Central Limit Theorem
Sample mean calculations
Finding probabilities for sample means
Adding proportions to the mix
Figuring out the standard error of the sample proportion
Using the Central Limit theorem for proportions
Matching z-Scores to sample proportions
Finding approximate probabilities
8. Finding room for a margin of error
Defining and calculating margin of error
Using the formula for margin of error when estimating a population mean
Finding appropriate z*-Values for given confidence levels
Connecting margin of error to sample size
Linking margin of error and population proportion
9. Confidence intervals: basics for single population means and proportions
Introducing confidence intervals
Components of confidence intervals
Interpreting confidence intervals
Spotting misleading confidence intervals
Calculating a confidence interval for a population mean
Determining the needed sample size
Population proportion
Connecting a population proportion to a survey
Calculating a confidence interval for a population proportion
10. Confidence intervals for two population means and proportions
Working with confidence intervals and population proportions
Working with confidence intervals and population means
Making calculations when population standard deviations are known
Working with unknown population standard deviations and small sample sizes
11. Claims, tests, and conclusions
Knowing when to use a hypothesis test
Setting up null and alternative hypotheses
Finding the test statistic and the p-Value
Making decision based on alpha levels and test statistics
Making conclusions
Understanding type I and type II errors
12. Hypothesis testing basics for a single population mean: z- and t-Tests
What you need to run a z-Test
Determining null and alternative hypotheses
Introducing p-Values
Calculating the z-Test statistic
Finding p-Values by doing a test of one population mean
Drawing conclusion about hypotheses
Knowing when to use a t-Test
Connecting hypotheses to t-Tests
Calculating test statistics
Working with critical values of t
Linking p-Values and t-Tests
Drawing conclusion from t-Tests
Performing a t-Test for a single population mean
13. Hypothesis tests for one proportion, two proportions, or two population means
Comparing two independent population means
Using the paired t-Test
Comparing two population proportions
14. Surveys
Planning and designing surveys
Selecting samples and conducting surveys
15. Correlation
Scatter plots
Correlations
16. Simple linear regression
Introducing the regression line
Knowing the conditions for regression
Examining the equation for calculating the least-squares regression line
Finding the slope and y-intercept of a regression line
Seeing how variables can change in a regression line
Finding a regression line
Connecting to correlation and linear relationships
Determining whether variables are candidates for a linear regression analysis
Describing linear relationships
Making predictions
Figuring out expected values and differences
17. Two-way tables and independence
Introducing variables and two-way tables
Reading a two-way table
Interpreting a two-way table by using percentages
Interpreting a two-way table by using counts
Connecting conditional probabilities to two-way tables
Investigating independent variables
Calculating marginal probability and more
Adding joint probability into the mix
Conditional and marginal probabilities
Figuring out the number of cells in a two-way table
Including conditional probability
Research designs
pt. II. The answers
18. Answers
Appendix : Tables for reference.
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登録日 2020.06.27
更新日 2020.06.28