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Introduction to Statistics - Department of Statistics and Applied
Introduction to Statistics - Department of Statistics and Applied

ENV 260/SDV 360
ENV 260/SDV 360

... exact when the population is normal and is approximately correct for large n in other cases. Note that when n is small and the population is not normal, this formula can lead to incorrect results and therefore cannot be used. Here t * is chosen so that the area under the t probability distribution f ...
Section 8.3 Estimating a Population Mean
Section 8.3 Estimating a Population Mean

6.2 Confidence Intervals for the Mean (Small Samples)
6.2 Confidence Intervals for the Mean (Small Samples)

Notes 5 - UC Davis Statistics
Notes 5 - UC Davis Statistics

... where s is the sample standard deviation. Conditions Required for a Valid Large-Sample Confidence Interval for µ 1. A random sample is selected from the target population. 2. The sample size n is large (i.e., n ≥ 30). (Due to the central limit theorem, this condition guarantees that the sampling dis ...
What is the primary reason for applying a finite population correction
What is the primary reason for applying a finite population correction

Squares and quadratic formulas
Squares and quadratic formulas

Section 8.1 Class Notes
Section 8.1 Class Notes

Mathematics
Mathematics

... The use of GC, without computer algebra system, will be expected. The examination paper will be set with the assumption that candidates will have access to a GC. As a general rule, unsupported answers obtained from a GC are allowed unless the question specifically states otherwise. Where unsupported ...
b.sc maths stat 2 qp bank 2016 - E
b.sc maths stat 2 qp bank 2016 - E

Lab7
Lab7

... b) If the distribution is uniform then calculate the mean, the variance, and the standard deviation using the equations in Ch 4. Remember for uniform distribution you need to find the maximum and the minimum values to calculate the mean and the variance. c) Calculate the mean and the variance using ...
Figure 15.2
Figure 15.2

Estimating with Confidence
Estimating with Confidence

... standard deviation of the sample = standard deviation of the population divided by the square root of N (number of trials in the sample). When we make a claim about a population parameter, we can say that the parameter is "somewhere around" our sample statistic. SOMEWHERE AROUND is not precise enoug ...
σ < = 2.355 = 4.492 - Emily Miller`s ePortfolio
σ < = 2.355 = 4.492 - Emily Miller`s ePortfolio

Review of Basic Statistical Concepts
Review of Basic Statistical Concepts

LaGuardia Community College
LaGuardia Community College

Confidence Interval for Population Mean
Confidence Interval for Population Mean

... the sample we calculate a sample mean. Since we know in theory that different samples would provide potentially different sample means, we take our one sample mean and build a margin of error around the sample mean. Then we have a level of confidence that the unknown population mean is in the interv ...
Sample Size Estimation in the Proportional Hazards Model
Sample Size Estimation in the Proportional Hazards Model

Review of Probability and Statistics
Review of Probability and Statistics

Ch5Review - AP Calculus AB/BC Overview
Ch5Review - AP Calculus AB/BC Overview

... a rectangle twice as long as it is wide and the other a square. The square field must contain at least 100 square yards and the rectangular one must contain at least 800 square yards. a) If x is the width of the rectangular field, what are the maximum and minimum possible values of x ? b) Set up a f ...
SOC 2105 – ELEMENTS OF SURVEY SAMPLING AND SOCIAL
SOC 2105 – ELEMENTS OF SURVEY SAMPLING AND SOCIAL

Chapter 8: Sampling Distributions and Estimation
Chapter 8: Sampling Distributions and Estimation

Estimating population mean
Estimating population mean

Chapter 6 Worksheet
Chapter 6 Worksheet

... Practical Rules Commonly Used: 1. For samples of size n larger than 30, the distribution of the sample means can be approximated reasonably well by a normal distribution. The approximation gets better as the sample size n becomes larger. 2. If the original population is itself normally distributed, ...
Estimating when is unknown
Estimating when is unknown

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German tank problem



In the statistical theory of estimation, the problem of estimating the maximum of a discrete uniform distribution from sampling without replacement is known in English as the German tank problem, due to its application in World War II to the estimation of the number of German tanks.The analyses illustrate the difference between frequentist inference and Bayesian inference.Estimating the population maximum based on a single sample yields divergent results, while the estimation based on multiple samples is an instructive practical estimation question whose answer is simple but not obvious.
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