The Normal Distribution Normalor Gaussiandistributions are a family of symmetrical, bell shaped density curves defined by a mean (mu) and a standard deviation (sigma): N (, ).
Pictorially speaking, a Normal Distribution is a distribution that has a symme
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Describing Distributions Numerically Measures of Center: The mean or arithmetic average To calculate the average, or mean, add all values, Heights of 25 Women then divide by the number of observations. Sum of heights is 1598.3 Divided by 25 w
Relationships between two categorical variables Examples: Is gender or race related to political preference? What type of music makes people relax best? Are people who make more money more satisfied with their jobs? A two-way table is a way to display the
What is Statistics? (Day 1) Statistics: the science of collecting, organizing, and interpreting data.
Population Inference about population (using statistical tools) Sample of data
To utilize statistics we need to understand: how the data was collected wh
Answer key of First Midterm Examination, Math 61, Version 2 1. Let X be an n element set. How many ordred pairs (A, B ) of subsets of X satisfy A B X . Answer 3n . Read Example 1.6 page 110 in the text (UCLA edition) or Example 6.1.6 (page 223) in the ori
Math.61/1 First Midterm Exam. Announcement
Date, Time and Place Monday January 26, 1:00 p.m. to 1:50 pm, in the LAKRETZ 110 (not the usual class room). Exam Rules:
Calculators are allowed in the three exams. Students are not allowed to open text books a
The t-distribution Previously, for the sake of convenience, we have been assuming that when dealing with normal models for quantitative data that either , or , or both are known. In practice, this is never really the case. We have mentioned how the sample
Probability Models A Bernoulli Trial A random variable X is a Bernoulli random variable (or Bernoulli trial) if the following conditions are met: X has only two possible outcomes (called success and failure) The probability of success, p, is constant for
Randomness and Probability Models Randomness and Probability A phenomenon is random if individual outcomes are uncertain, but a regular distribution of outcomes emerges with a large number of repetitions. Example: The probability of any outcome of a rando
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Describing Distributions Numerically Measures of Center: The mean or arithmetic average To calculate the average, or mean, add all values, Heights of 25 Women then divide by the number of observations. Sum of heights is 1598.3 Divided by 25 w