Online calculation webpage with sample mean and sample variance for interval estimation

发布日期 : 2019-04-29 14:20:44 UTC      

分类 : Probability

  
总 X~N (μ,σ2), 其中μ是人口平均值,σ2 是人口差异,σ is the population standard deviation,样本量 n, 样本平均值是 x.输入的值后 n,x 和σ下面,单击“计算”按钮进行计算:

选择单一或双重人口:
正常总体的区间估计
两个正态总体的区间估计
选择路段估算内容:
通过已知总标准差进行平均值的区间估计
未知总体平均值的区间估计标准差
方差和标准差的区间估计

选择置信概率:
Confidence probability 0.9(α=0.1)
Confidence probability 0.95(α=0.05)
Confidence probability 0.99(α=0.01)
Confidence probability 0.999(α=0.001)

App description

This webpage calculates the relevant interval estimates for the normal population of various cases (such as known variance and unknown variance) when the sample mean and sample variance have been calculated by other methods. When inputting the sample standard deviation or the known population standard deviation that has been calculated, it is also possible to add a letter q followed by a variance or a sample variance value. The overall standard deviation is represented by σ, and the sample standard deviation is represented by s.

Usage example

For example, choose single population or double population: interval estimation of a normal population; selection interval estimation content: known population standard deviation to estimate the mean value; select confidence probability: confidence probability 0.95 (α=0.05) n=100,x=10,σ=5

Calculation results:

Bilateral confidence interval:

With a confidence probability of 0.95 affirmation μ falls in the interval (9.02002, 10.98)

Unilateral confidence limit:

With a confidence probability of 0.95, the positive μ is greater than 9.17757

One-sided confidence limit:

With a confidence probability of 0.95, the μ is less than 10.8224  

Note

1.Choose single or double overall

2.Select interval estimation content

3.Select the confidence probability

After entering the values below, click the "Start Calculation" button to calculate