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Collection, organization, sumarization, and presentation of data |
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Group within a population |
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generalizing from samples to populations performing estimations and hypothesis tests, determining relationships among variables |
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assume values that can be counted (people, puppies, etc.) |
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Assume infinite number of values between any two specific values (measurements, weights, temp) |
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Boundaries/Class Boundaries |
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if a value is "14" it means "a value between 13.5 and 14.5", same for class boundaries |
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just pick random people from a population |
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Picking like every 7th or 19th or 100000th or whatever^th |
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Random sampling within certain strata (ie gender, education level, location) |
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Picking one strata from a population and sampling all of the members of that strata. |
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organization of raw data using CLASSES and FREQUENCIES |
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must be exhaustive Must be equal in width Must be continuous Must be mutually exclusive Preferably class width is odd |
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Class limit-boundary relationship |
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if a limit is 1.856- 3.856 then the boundaries are 1.8555-3.8565 |
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Bar graph, bars touch, class boundaries along the x axis |
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class midpoint on the x-axis, frequency on y-axis, line graph |
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Class boundaries on x-axis, cumulative frequency on y-axis |
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Average- all values in sample divided by number of values |
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If all you get is a frequency chart, find the midpoint of each class, multiply the frequency of each class by the midpoint, and divide that by the number of values |
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Value in middle. If there are an even number of values, average those two |
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Value that occurs most often |
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Class on a frequency chart that has the most values |
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lowest value plus highest value divided by two |
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Shown as "R", = highest value-lowest value |
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The proportion of values from a data set that will fall "k" standard deviations from the mean will be at least 1-1/k^2 where K is greater than one |
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Probability that B will happen, given A happening |
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Discrete probability distribution |
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Consists of the values a random variable can assume and the corresponding probabilities of the values. |
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Fixed number of trials Only two outcomes each Independent outcomes Probability of success must remain same for all outcomes |
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Probability of success in a binomial experiment |
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Numerical probability of failure |
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Standard Normal distribution |
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Definition
Mean of zero Standard Deviation of one |
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Definition
As sample size, n, approaches infinity the distribution curve will approach normal. |
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