
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 ...
... 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 ...
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 ...
... 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 ...
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 ...
... 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 ...
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 ...
... 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 ...
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 ...
... 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 ...
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 ...
... 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 ...
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 ...
... 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 ...
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, ...
... 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, ...
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.