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Topic: Population mean

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	Mean - Wikipedia, the free encyclopedia
		Sample mean is often used as an estimator of the central tendency such as the population mean.
		The mean is the arithmetic average of a set of values, or distribution; however, for skewed distributions, the mean is not necessarily the same as the middle value (median), or most likely (mode).
		The geometric mean is an average that is useful for sets of numbers that are interpreted according to their product and not their sum (as is the case with the arithmetic mean).
	en.wikipedia.org /wiki/Mean (1052 words)

	Arithmetic mean - Wikipedia, the free encyclopedia
		When the mean is not an accurate estimate of the median, the list of numbers, or frequency distribution, is said to be skewed.
		While the mean is often used to report central tendency, it may not be appropriate for describing skewed distributions, because it is easily misinterpreted.
		The arithmetic mean is greatly influenced by outliers.
	en.wikipedia.org /wiki/Mean_average (744 words)

	Statistics for Mean Averages
		Finite population correction is incorporated into the calculation of the standard error of the mean, so the population size should be specified whenever the sample size is greater than ten percent of the population size.
		Occasionally, the mean of the population is known (perhaps from a previous census).
		After drawing a sample from the population, it might be helpful to compare the mean of your sample to the mean of the population.
	www.statpac.com /statistics-calculator/means.htm (1650 words)

	Chapter 17 (Site not responding. Last check: 2007-09-19)
		For the example of the sampling distribution of means, the variance of the sampled means (.125) indeed equals the variance of the population sampled from (.5) divided by the size of the sample, n, equal to 2.
		Form a z ratio by using the difference between a random sample mean and the mean of the population in the numerator and the standard error of the mean as its denominator.
		It means that a sample mean of 65 is 10 standard deviation units above the mean of the sampling distribution of means.
	www.public.asu.edu /~fmarti3/course/edp502/chap17.1.html (793 words)

	Confidence Interval for the Mean (Site not responding. Last check: 2007-09-19)
		Recall from the section on the sampling distribution of the mean that the mean of the sampling distribution is μ and the standard error of the mean is
		Now consider the probability that a sample mean computed in a random sample is within 23.52 units of the population mean of 90.
		This means that if we repeatedly compute the mean (M) from a sample, and create an interval ranging from M - 23.52 to M + 23.52, this interval will contain the population mean 95% of the time.
	psych.rice.edu /online_stat/chapter8/mean.html (1227 words)

	Confidence Intervals for a Single Population Mean
		Unlike Bernoulli populations, where the variance is determined by the proportion, often the variance is a separate parameter of the population distribution.
		Usually small changes in the process are assumed to produce small changes to the mean and variance, and that the changes to the variance are small enough to be ignored for inference about the mean.
		Since the population variance is unknown, we estimate the standard deviation with the standard error 2.3 minutes.
	www.ms.uky.edu /~viele/sta281f96/cionemean/cionemean.html (1208 words)

	Mean (1 of 4) (Site not responding. Last check: 2007-09-19)
		The mean is the sum of all the scores divided by the number of scores.
		For normal distributions, the mean is the most efficient and therefore the least subject to sample fluctuations of all measures of central tendency.
		The formal definition of the arithmetic mean is µ = E[X] where μ is the population mean of the variable X and E[X] is the expected value of X.
	davidmlane.com /hyperstat/A15885.html (240 words)

	eBMJ -- Statistics at Square One: 3. Populations and samples (Site not responding. Last check: 2007-09-19)
		This means that a framework is laid down initially, and the patients or objects of the study in a random sample are then allotted to the compartments of the framework.
		The standard error of the mean of one sample is an estimate of the standard deviation that would be obtained from the means of a large number of samples drawn from that population.
		To calculate the standard errors of the two mean blood pressures the standard deviation of each sample is divided by the square root of the number of the observations in the sample.
	bmj.bmjjournals.com /collections/statsbk/3.shtml (2831 words)

	Sampling Distributions
		Assuming the sample size was 100, the sampling distribution of mean reading scores would have a mean of 100 (equal to the original population mean), and a standard error of the mean of 15 divided by the square root of 100 (15/10) equal to 1.5.
		As the sample size increases, the shape of the sampling distribution of the mean approximates the shape of a normal z score distribution irrespective of the shape of the original population distribution.
		Next, the mean of the distribution is subtracted away from the first value, and that result is divided by the standard deviation of the distribution.
	espse.ed.psu.edu /edpsych/faculty/rhale/Statistics/Chapters/Chapter9/Chap9.html (3697 words)

	Mean (Site not responding. Last check: 2007-09-19)
		The mean is the unique value about the sum of squared deviations is a If you calculate the sum of squared from any other measure of central tendency it will be larger than for mean.
		The geometric mean is an average which is useful sets of numbers which are interpreted according their product and not their sum (as the case with the arithmetic mean).
		The generalized mean is an abstraction of the Arithmetic and Harmonic Means.
	www.freeglossary.com /MeaN (957 words)

	The Ubiquitous Sample Mean!
		It is the best estimate of the mean of the population from which the sample was drawn.
		The SD also estimates the spread of individual values about the population mean teh extent to which a single value chosen at random might differ from the population mean.
		The sample mean describes both the population mean and an individual value drawn from the population.
	www.tufts.edu /~gdallal/means.htm (1275 words)

	eBMJ -- Statistics at Square One: Differences between means: type I and type II errors and power (Site not responding. Last check: 2007-09-19)
		We saw in Chapter 3 that the mean of a sample has a standard error, and a mean that departs by more than twice its standard error from the population mean would be expected by chance only in about 5% of samples.
		The sample mean may happen to be identical with the population mean but it more probably lies somewhere above or below the population mean, and there is a 95% chance that it is within 1.96 standard errors of it.
		In comparing the mean blood pressures of the printers and the farmers we are testing the hypothesis that the two samples came from the same population of blood pressures.
	bmj.bmjjournals.com /collections/statsbk/5.shtml (2015 words)

	Single-Group Design (Site not responding. Last check: 2007-09-19)
		The null hypothesis states that the population from which the sample was drawn has the same mean as the population that we are presently comparing the sample to.
		Which states that the population from which the sample was drawn has a mean that is either greater or less than the population that we are presently comparing the sample to.
		Inferential statistics are used to make inferences about the population based upon analysis of sample data, they may be either parametric and nonparametric, dependent upon the level of measurement of the data.
	www.viterbo.edu /personalpages/faculty/DWillman/p230/p230_1_gp.htm (1535 words)

	Ch10 t-Procedures for Single Sample
		Also shown are the mean of the sample, the sum of squared deviates, the variance, and the standard deviation.
		We noted in Chapter 9 that the mean of a sample can be taken as an unbiased estimate of the mean of the population from which it is randomly drawn.
		Providing that these two assumptions are correct, she can then conclude that the mean of the population must lie somewhere in the vicinity of the observed mean of the sample.
	faculty.vassar.edu /lowry/ch10pt1.html (2152 words)

	CW Probability and Statistics for Engineers and Scientists 7/e Chapter 9 -- MINITAB Project 1 (Site not responding. Last check: 2007-09-19)
		The mean would either be in the interval or not, thus we cannot say that the mean will be in the interval with a probability of 0.95.
		With this information in mind, construct a 95% confidence interval for the mean of the population from which the data was sampled.
		Recall, in order to construct confidence intervals for a population mean, one of the basic assumptions is that the sampling population is normal or approximately normal.
	cwx.prenhall.com /bookbind/pubbooks/esm_walpole_probstats_7/chapter9/custom1/deluxe-content.html (4323 words)

	7. Confidence Intervals
		In another case in which 100 random samples were selected from the same population and 95% confidence intervals were computed for each of the samples, a picture of the mean (vertical line at 3.5) together with the 100 confidence intervals is shown in the next graph.
		In sampling from a normal population with known standard deviation, the distribution of sample means is normal with mean equal to the population mean and standard deviation equal to the standard deviation of the population divided by the square root of the sample size.
		In finding a confidence interval for a population proportion, the overall procedure is the same as that of finding a confidence interval for a population mean, but some modification is necessary.
	www.csus.edu /indiv/j/jgehrman/courses/stat1/Misc/confintervals/7confi.htm (1555 words)

	Statistical Inference
		The sample mean is a point estimate of the population mean.
		The mean and standard deviation of the sample of 20 scores are 51 and 18.35 respectively.
		The estimated mean and standard deviation of the sampling distribution are 51 and 4.1 respectively.
	www.rci.rutgers.edu /~keer/estimationpvalue.htm (646 words)

	Statistics Glossary - Basic Definitions
		The population for a study of infant health might be all children born in the UK in the 1980's.
		For example, the population mean is a parameter that is often used to indicate the average value of a quantity.
		For example, the mean of the data in a sample is used to give information about the overall mean in the population from which that sample was drawn.
	www.stats.gla.ac.uk /steps/glossary/basic_definitions.html (1083 words)

	[No title] (Site not responding. Last check: 2007-09-19)
		In each pair, the first number is a possible value of the sample mean, and the second number is the probability of obtaining that value of the mean occur when we select a random sample from the population.
		The population distribution is discrete uniform; i.e., if we randomly select one member from the population, we are equally likely to find x = 2, x = 4, x = 6 or x = 8, where the random variable X is the score of our randomly selected student.
		Property 2 says that for a given population, and a given random variable defined for the members of that population, the standard error of the mean is smaller for larger sample sizes.
	www.unf.edu /~jgleaton/LectNotesSta2014Ch7lPt2.doc (1150 words)

	Sampling and the Standard Error of the Mean
		If the standard error of the mean is large, then the sample mean is likely to be a poor estimate of the population mean.
		In general, as the size of the sample increases, the sample mean becomes a better and better estimator of the population mean.
		That is, the difference in the standard error of the mean for sample sizes of 1 and 10 is fairly large; the difference in the standard error of the mean for samples sizes 10 and 20 is much smaller.
	academic.udayton.edu /gregelvers/psy216/activex/sampling.htm (892 words)

	Population: Babies Mean Business - Boomers At 60 - MSNBC.com
		The prospect was that without immigration the population would reach its peak of around 148,000,000 by the year 1970 and then start decreasing at the rate of 2 percent each generation.
		The differences in the number of children produced by the various groups in the nation’s population apparently was disappearing.
		Now 144,000,000, the population was expected to reach 148,000,000 by 1950—twenty years before the experts of the ‘30s had estimated that it would.
	msnbc.msn.com /id/9925897/site/newsweek (1441 words)

	[No title]
		As a number of observations drawn increases, the mean xbar of the observed values get closer and closer to the mean (of the population.
		Calculate the mean of the height or weight of these five people for each time.
		Mean and Standard Deviation of a Sample Mean Suppose that x is the mean of an SRS of size n drawn from a large population with mean (, and standard deviation (.
	www.math.unl.edu /~shoo/4.3.doc (331 words)

	Confidence Intervals
		As with one mean, we are only developing methods for when the sampling distribution of our estimate is a normal distribution, which occur if either both samples are large or both populations are normally distributed.
		Although the population variances are unknown, the samples are large so we may use the standard errors and proceed as if the variance were known.
		When the population variances are unknown, they must be estimated from the data (either by using the sample variances, the sample proportions, or the pooled sample variance).
	www.ms.uky.edu /~viele/sta281s97/confint/confint.html (2875 words)

	Small Sample Test for a Population Mean
		Thus far we have conducted tests of significance for a single population mean.
		population from which the sample of serum amylase determinations came is different from
		The mean and standard deviation computed from the sample are 96 and 35 units/100 ml,
	home.xnet.com /~fidler/triton/math/review/mat170/ssmean/ssmean1.htm (501 words)

	Test of Significance on the Difference between Two Population Means based upon Two Large, Independent Samples
		mean of the samples means for population 2.
		each mean of sample means is the same as its corresponding population mean and this is the
		a mean of 4.5 mg/100 ml and those on 15 normal individuals resulted in a mean of 3.4 mg/100 ml.
	home.xnet.com /~fidler/triton/math/review/mat170/indmean/indmean1.htm (859 words)

	An exact non-parametric Bayes test for mean of non-negatives.
		This population mean is not equal to 1, so we must normalize the negated logarithms by dividing each by their population mean.
		The 95% lower one-sided confidence boundary for the population mean will be printed in the text area directly under the “Run a program” button.
		Let us use the English word “promise” to mean “left boundary of the one-sided confidence interval for the population mean.” (The right boundary is of course infinity.) Actually there are three promises we ought to get: for the first sample, for the second sample, and for the concatenation of the two samples.
	www.toad.net /~jkaplan2/martMean.htm (3003 words)

	Averages: The best of Mean, Mode, Median, and Midrange
		Mean most often refers to the arithmetic mean, but is also ambiguous.
		A host of other means and their method of computation will be discussed in lesson 4.
		The equation is essentially the same for finding a population mean; however, the symbol for the population mean is the small Greek letter µ (mu).
	www.andrews.edu /~calkins/math/webtexts/stat03.htm (1278 words)

	Inference About a Population Mean Tutorial
		To estimate the population mean with a confidence interval.
		Be careful in drawing specific conclusions from histograms based on small data sets: the particular features are quite likely to be due to the particular sample that's observed as well as a computer's choice of classes (bins).
		For large samples, it is not necessary that the population be normally distributed in order to correctly interpret CIs and P-values.
	www.oswego.edu /~srp/stats/1s_inference_tut.htm (348 words)

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