Statistics

This course provides a comprehensive overview of the core concepts in Statistics. Emphasis is placed on the foundations of statistics. Course topics cover the basic ideas of statistics, graphical summaries of data, numerical summaries of data, summarizing bivariate data, probability, discrete probability distributions, the normal distribution, confidence intervals, hypothesis testing, two-sample confidence intervals, two-sample hypothesis tests, tests with qualitative data, inference in linear models, analysis of variance, and nonparametric statistics.

After completing this course, you will be able to:

• Recognize the investigative process of statistics.
• Determine and distinguish between basic ideas of statistics, such as types of samples, data, variables, experiments, studies, and bias.
• Identify and apply data types and levels of measurement including sample vs. population, and distribution.
• Show an understanding of random sampling and the importance of randomness.
• Distinguish the distribution of a numeric variable by its center and spread.
• Represent numeric variable distributions graphically by dot plot, stem-and-leaf plot, box-and-whisker plot, and histogram.
• Identify the normal distribution of a variable and calculate normal probabilities.
• Construct and analyze a scatter plot for a set of bivariate data.
• Calculate the regression model for a set of bivariate data and use it to make predictions.
• Calculate the probability of simple and compound events.
• Use a variety of probability distributions to calculate the probability of an event.
• Construct one and two sample confidence intervals for population means or proportions.
• Conduct one and two sample hypothesis tests for population means or proportions.
• Recognize errors in hypothesis testing and their causes.
• Conduct Chi-square tests for uniformity of univariate data or independence of two categorical variables.
• Compare multiple population means using an ANOVA test.
• Interpret a randomized block experiment with an F-test.

Title: Elementary Statistics, Edition: 4, Authors: William Navidi and Barry Monk

If you are struggling with a term or concept, you can utilize the links below to search for the concept or term to find additional resources and explanations.

[Link Removed]

Khan Academy Statistics

Crash Course Statistics

Openstax - Introductory Statistics

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