
Confidence Intervals
... 8. The basic idea is that the critical score tells you how many "standard deviations" you have to extend out from the population mean in order to pick up the fraction c of the sample means. The second term ( n or s / n ) tells you how big one standard deviation is for the sampling distribution o ...
... 8. The basic idea is that the critical score tells you how many "standard deviations" you have to extend out from the population mean in order to pick up the fraction c of the sample means. The second term ( n or s / n ) tells you how big one standard deviation is for the sampling distribution o ...
MAT 220 Class Notes
... Restated. At least (1 − k12 ) observations lie in the interval (x − ks, x + ks). Example. A set of grades has x = 75, s = 6. Then (i) (k = 1): at least 0% of all grades lie in [69, 81] (ii) (k = 2): at least 75% of all grades lie in [63, 87] (iii) (k = 3): at least 88% of all grades lie in [57, 93] ...
... Restated. At least (1 − k12 ) observations lie in the interval (x − ks, x + ks). Example. A set of grades has x = 75, s = 6. Then (i) (k = 1): at least 0% of all grades lie in [69, 81] (ii) (k = 2): at least 75% of all grades lie in [63, 87] (iii) (k = 3): at least 88% of all grades lie in [57, 93] ...
Acid Rain
... d) Use the results to complete the following: We are __98___% confident that in the year 2000, the mean PH levels of rain in the area of Pierce County, Washington was between ___4.704_____ and ____4.917_____ With __98____% confidence we can say that in the year 2000, the mean PH level of rain in ...
... d) Use the results to complete the following: We are __98___% confident that in the year 2000, the mean PH levels of rain in the area of Pierce County, Washington was between ___4.704_____ and ____4.917_____ With __98____% confidence we can say that in the year 2000, the mean PH level of rain in ...
Chapter 9
... As for the normal distribution, we need tables for looking up values for the tdistribution. The shapes of the t-distributions are dependent on the degree of freedom; thus we cannot get away with a single table for all t-distributions as we did with the normal distribution. We really do appear to nee ...
... As for the normal distribution, we need tables for looking up values for the tdistribution. The shapes of the t-distributions are dependent on the degree of freedom; thus we cannot get away with a single table for all t-distributions as we did with the normal distribution. We really do appear to nee ...
ECP-00021/1
... the known mix level at a 95 percent confidence level. It is determined for “fresh” samples only. Bias is not determined for “seasoned” samples, since the component concentration level was not determined independently of the test method. A statistically significant high bias of (+0.139 g/L) for K3Fe( ...
... the known mix level at a 95 percent confidence level. It is determined for “fresh” samples only. Bias is not determined for “seasoned” samples, since the component concentration level was not determined independently of the test method. A statistically significant high bias of (+0.139 g/L) for K3Fe( ...
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.