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4.1: An Introduction to Sets

WEBEquality of Sets. Two sets A and B are said to be equal if they contain the same collection of elements. More rigorously, we define A = B ⇔ ∀x(x ∈ A ⇔ x ∈ B). Since the elements …

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10.2: Null and Alternative Hypotheses

WEBThe null hypothesis ( H0. H 0. ) is a statement about the population that either is believed to be true or is used to put forth an argument unless it can be shown to be incorrect …

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8.6: Hypothesis Test of a Single Population Mean with Examples

WEBFull Hypothesis Test Examples. Example 8.6.4. Statistics students believe that the mean score on the first statistics test is 65. A statistics instructor thinks the …

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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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2.4: Slope of a Line

WEBAnswer. The slope of the line is −32 − 3 2 . [/hidden-answer] In the example above, you could have found the slope by starting at point B, running +3 + 3 to arrive at …

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6.3: Independent Events and Conditional Probabilities

WEBThis action is not available. What do you think the probability is that a man is over six feet tall? If you knew that both his parents were tall would you change your …

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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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5.1: Solve Systems of Equations by Graphing

WEBTo determine if an ordered pair is a solution to a system of two equations, we substitute the values of the variables into each equation. If the ordered pair makes …

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1.8: A Taxing Set of Problems

WEBSelf-Employment and the Medicare Tax. The Affordable Care Act was passed by Congress and signed into law in 2010. The law reforms the health care system in the …

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2.2: Venn Diagrams

WEB2.2: Venn Diagrams. Page ID. Julie Harland. MiraCosta College. This is a Venn diagram using only one set, A. This is a Venn diagram Below using two sets, A …

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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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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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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, …

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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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5.4: 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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5.12: Linear Programming

WEBFigure 5.111 Graph of the System of Inequalities. Step 4: Find the value of the objective function at each corner point of the graphed region. The “graphed region” is the area …

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1.20: Word Problems for Linear Equations

WEBExample 18.2. Solve the following word problems: a) Five times an unknown number is equal to 60. Find the number. Solution: We translate the problem to algebra: \[5x = …

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