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Math 151. Rumbos Spring 2008 1 Solutions to Assignment #21 1
Math 151. Rumbos Spring 2008 1 Solutions to Assignment #21 1

The Mean and Standard Deviation of š
The Mean and Standard Deviation of š

... Standard Error (SE) of the Sample Mean:  The standard deviation of  determines the amount of sampling error to be expected when a population mean is estimated by a sample mean. This sampling error gets smaller as the sample size increases. ▪ The larger the sample size, the smaller is the standard ...
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... population; and therefore, the sample statistic is an accurate estimate of the population parameter. If the sample is not representative of the population, then all bets are off ! ...
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... sample mean (symbol is supposed to be X with a bar over it, referred to as “x bar”) population mean sample standard deviation sample variance population standard deviation population variance sample proportion (symbol is supposed to be P with a carat symbol, ^, over it, referred to as “p hat”) popul ...
Your favorite professional football team (I shall refer to them as the
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Normal Approximation to the Binomial Distribution

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A brief review on sample variance

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... P(X=x) Find (with grapher) E(X): standard deviation: variance: ...
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... and standard deviation were computed to be X = 15.9 ounces and s = .3 ounce. Construct a 99% confidence interval estimate of the population mean. 3. An electrical firm manufactures light bulbs that have a length of life that is normally distributed with standard deviation of 40 hours. If a sample of ...
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... • Remember that the normal distribution has some qualities that allow us to say this • We know that 95% of the data is within 1.96 SDs of the mean (population) etc. • The 1.96 comes from the Z distribution • So if we want to say with 95% confidence that a sample is (un)likely to come from a (known) ...
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... 4. A student scored 95 percent on a test, and was in the 90th percentile. Explain these two numbers. Suppose the maximum score is 100 and there were 200 students who took the test. Then there were 20 students who scored 95 or better. 5. An animal trainer obtained the following sample data (Table A) ...
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... 1. So far we haven’t used any assumptions about conditional variance. 2. If our data were the entire population, we could also use the same least squares procedure to fit an approximate line to the conditional sample means. 3. Or, if we just had data, we could fit a line to the data, but nothing cou ...
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SAMPLING DISTRIBUTIONS

Principles of Statistics STA-201-TE
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... Current edition. New York: John Wiley Web resources This site has excellent information explaining all aspects of statistics. If you do not understand a concept in your text, search for it on this site. An explanation in different words may help clarify the subject. http://davidmlane.com/hyperstat/i ...
Common Definitions from Statistics 210
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Taylor's law

Taylor's law (also known as Taylor’s power law) is an empirical law in ecology that relates the variance of the number of individuals of a species per unit area of habitat to the corresponding mean by a power law relationship.
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