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10.2: Null and Alternative Hypotheses

WebThe alternative hypothesis ( Ha H a) is a claim about the population that is contradictory to H0 H 0 and what we conclude when we reject H0 H 0. Since the null and alternative …

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URL: https://math.libretexts.org/Courses/Coastline_College/Math_C160%3A_Introduction_to_Statistics_(Tran)/10%3A_Hypothesis_Testing_with_One_Sample/10.02%3A_Null_and_Alternative_Hypotheses

5.4: Normal Distribution

WebTable 5.4.1 5.4. 1. The graph above shows the standard normal distribution (with the mean 0). Each decimal number in the table represents the probability …

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12: Confidence Intervals and Hypothesis Tests

Web12.1: Confidence Intervals. In this chapter, you will learn to construct and interpret confidence intervals. You will also learn a new distribution, the Student's-t, and …

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4.1: An Introduction to Sets

WebRoster Notation. We can use the roster notation to describe a set if we can list all its elements explicitly, as in \[A = \mbox{the set of natural numbers not exceeding 7} = …

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6.5: Estimating Population Proportion

WebDuring an election year, we see articles in the newspaper that state confidence intervals in terms of proportions or percentages. For example, a poll for a …

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6.1: Qualitative Data and Quantitative Data

WebData. There are two types of data that we can collect: Qualitative data describes a subject, and cannot be expressed as a number. Quantitative data defines a …

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8.6: Hypothesis Test of a Single Population Mean with Examples

WebStep 1: State your hypotheses about the population mean. Step 2: Summarize the data. State a significance level. State and check conditions required for the …

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2.1: Statements and Logical Operators

WebFor example, in Question (1), we will assume that each statement is true. In Question (2), we will assume that P is true and Q is false. In each part, determine the …

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6.3: Independent Events and Conditional Probabilities

WebMultiplication Rule for Independent Events. If events A A and B B are independent, then the probability of both A A and B B occurring is the product of the …

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2.3: Deceptive and Misleading Numbers

WebTherefore, the parking fee used to be $16. If you make the common mistake of finding 25% of $20, that would be $5, and deducting $5 from $20 would give you $15. …

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5.1: U.S. Customary Measurement System

WebIntroduction. Measurement is a number that describes the size or amount of something.You can measure many things like length, area, capacity, weight, temperature …

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4.2: Truth Tables and Analyzing Arguments: Examples

WebExample 1. Suppose you’re picking out a new couch, and your significant other says “get a sectional or something with a chaise.”. This is a complex statement …

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2.4: Slope of a Line

WebThe slope equals the rise divided by the run: Slope = rise run. You can determine the slope of a line from its graph by looking at the rise and run. One …

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5.1: Solve Systems of Equations by Graphing

WebSolutions of a system of equations are the values of the variables that make all the equations true. A solution of a system of two linear equations is represented by an …

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2.2: Venn Diagrams

WebThis is a Venn diagram using only one set, A This is a Venn diagram Below using two sets, A and B. This is a Venn diagram using sets A, B and C.. Study the Venn …

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4.1: Higher Order Differential Equations

Web4.1: Higher Order Differential Equations. Recall that the order of a differential equation is the highest derivative that appears in the equation. So far we have studied first and second …

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4.2: Exponential Growth

WebFor every 1000 people in the population, there will be 1000 ⋅ 0.016 = 16 1000 ⋅ 0.016 = 16 more people added per year. Definition: Exponential Growth. A quantity …

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