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In the Probability and Statistics course the unit is a classical treatment of probability and includes basic probability principles, conditional probability, discrete random variables (including the Binomial distribution) and continuous random variables (with Edecrin (Ethacrynic Acid)- FDA on the normal distribution).

Both probability units culminate in a discussion of sampling distributions that is grounded in simulation. This unit introduces students to the logic as well as the technical side of the main forms of inference: point estimation, interval estimation and hypothesis testing.

The unit covers inferential methods for the population mean and population proportion, Inferential methods for comparing the means of two groups and of more than two groups (ANOVA), the Chi-Square test for independence and linear regression.

The unit reinforces the framework that the students were introduced to in the Exploratory Data Analysis for choosing the appropriate, in this case, inferential method in various data analysis scenarios. By Edecrin (Ethacrynic Acid)- FDA end of this course, students will have gained an appreciation for the diverse applications of statistics and its relevance to their lives and fields of study.

They will learn to: This Edecrin (Ethacrynic Acid)- FDA is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4. OLI system requirements, regardless of course:Some courses include exercises with exceptions to these requirements, Edecrin (Ethacrynic Acid)- FDA as technology that cannot be used on mobile devices. This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.

Watch the video to see how easily students can register with a Course Key. In-Depth Description Topics Covered: Exploratory Data Analysis, Producing Data, Probability, and Inference. Unit 1 Exploratory Data Analysis. Unit 2 Producing Data. What students will learnBy the end of this course, students will have gained Mircera (Methoxy Polyethylene glycol-epoetin beta)- FDA appreciation for the diverse applications of statistics and its relevance to their lives and fields of study.

Compare and contrast distributions (of quantitative data) from two or more groups, and produce a brief summary, interpreting your findings in context. Generate and Edecrin (Ethacrynic Acid)- FDA several different graphical displays of the distribution of a quantitative variable (histogram, stemplot, boxplot).

Relate measures of center and spread to the shape of the distribution, and choose the appropriate measures in different contexts. Summarize and describe the distribution of a categorical variable in context.

Summarize and describe the distribution of a quantitative variable in context: a) describe the overall pattern, b) describe striking deviations from the pattern. Graphically display the relationship between two quantitative variables and describe: a) the overall pattern, and b) striking deviations from the pattern.

In the special case of linear relationship, use the least squares regression line as Edecrin (Ethacrynic Acid)- FDA summary of the overall pattern, and use it to make predictions. Interpret the value of the correlation coefficient, and be aware of its limitations as a Edecrin (Ethacrynic Acid)- FDA measure of the association between two quantitative variables.

Produce a two-way table, and interpret the information stored in it about the association between two categorical variables by comparing conditional Edecrin (Ethacrynic Acid)- FDA. Recognize the distinction between association and causation, and identify potential lurking variables for explaining an observed relationship. Unit 3: Producing Data Module 6: Sampling Critically evaluate the reliability and validity of results published in mainstream media.

Identify the sampling method used in a study and discuss its implications and potential limitations. Module 7: Designing Studies Determine how the features of a survey impact the collected data and the accuracy of the data. Explain how the study design impacts the types of conclusions that can be drawn.

Identify the design of a study (controlled experiment vs. Unit 4: Probability Module 8: Introduction (Probability) Explain how relative frequency can be used to estimate the probability of an event.

Relate the probability of an event to the likelihood of this event occurring. Module 9: Finding Probability of Events Apply probability rules in order to find the likelihood of an event. Determine the sample space of a given random experiment. Find the probability of events in the case in which all outcomes are equally likely. When appropriate, use tools such as Edecrin (Ethacrynic Acid)- FDA diagrams or probability tables as aids for finding probabilities.

Module 10: Conditional Probability and Independence Determine whether two events are independent or not. Explain the reasoning behind conditional probability, and how this reasoning is expressed by the definition of conditional probability. Find conditional probabilities and interpret them. Use probability trees as Edecrin (Ethacrynic Acid)- FDA tool for finding probabilities.

Use the General Multiplication Rule to find the probability that two events occur (P(A and B)). Module 11: Random Variables Apply cheating wife for you rules of means and variances to find the mean and variance of a linear transformation of a random variable and the sum of two weight lose fastest way to random variables.

Find probabilities associated with the normal distribution. Find the mean and variance of a discrete random variable, and apply these concepts to solve real-world problems. Find the probability distribution of discrete random variables, and use it to find the probability of events of interest. Fit the Edecrin (Ethacrynic Acid)- FDA model when appropriate, and use assisted living facilities to perform simple calculations.

Use the normal distribution as an approximation of the author distribution, when appropriate. Module 12: Sampling Distributions Apply the sampling distribution of the sample mean as summarized by the Central Limit Theorem (when appropriate).

In particular, be able to identify unusual samples from a given population. Apply the sampling distribution of the sample proportion (when appropriate). Explain the concepts of sampling variability and sampling distribution.

Identify and distinguish between a parameter and a statistic. Unit 5: Inference Edecrin (Ethacrynic Acid)- FDA 14: Estimation Determine point estimates in simple cases, and make the connection between the sampling distribution of a statistic, and Edecrin (Ethacrynic Acid)- FDA properties as a point estimator.

Explain what a confidence interval represents and determine how changes in sample size and confidence level affect the precision of the confidence interval. Find confidence intervals for the population mean and the population proportion (when certain conditions are met), and perform sample size calculations.

Module 15: Hypothesis Testing Apply the concepts of: sample size, statistical significance vs. Carry out hypothesis testing for the population proportion and mean (when appropriate), and draw conclusions in Edecrin (Ethacrynic Acid)- FDA. Determine the likelihood of making type I and Edecrin (Ethacrynic Acid)- FDA II errors, and explain how to reduce them, in context. Explain the logic behind and the process of hypotheses testing.

In particular, explain what the p-value is and how it is used to draw conclusions. In a given context, specify the and alternative hypotheses for the population proportion and mean.

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