Sampling Statistics and Statistical Estimation

upper bound of sample

62

lower bound of sample

12

regeneratepopulation

outputs in graphical mode - I or statistical estimation - II

I

II

H

0

- the null hypothesis that the sample data is distributed according to the normal distribution

ci - a 95% confidence interval for the population mean

location measures

dispersion measures

shape measures

mean = 0.27

variance = 4.10

kurtosis = 3.80

median = 0.97

mean deviation = 1.50

skewness = -1.10

harmonic mean = 1.30

median deviation = 0.73

st. deviation = 2.00

ci {-0.30,0.84}

Reject

H

0

with

p-value = 3.70×

-6

10

This Demonstration illustrates some descriptive statistics and two different types of statistical estimation: a confidence interval for the mean of the underlying population (the validity of which depends on the normality of the underlying population) and a statistical test of the hypothesis that the population is not normally distributed. You can change the segment of the population that forms the sample and see the change in sample characteristics (mean, median, and so on). Use the sliders to set the bounds of the sample and to set the sample size and type.