The second normal population variance is the same but the unknown is the hypothesis test for the mean difference - online calculation tool

发布日期 : 2021-01-28 01:34:21 UTC      

分类 : Electronic

1,输入样本值或样本量以及计算的样本平均值和样本标准差:
输入每个样本值 输入样本量、样本平均值和样本标准差
在以下多行输入框中输入样本值(以逗号或空白字符分隔)
2,选择重要性水平 α:
0.1 0.05 0.025 0.02 0.01 0.005 0.001
3,设置假设选项(原始假设是): H0,备择假设为 H1):
H012, H11≠μ2
H01≤μ2, H112
H01≥μ2, H112
4,单击“开始检查”按钮开始检查:

Suppose the two populations X and Y are independent of each other and obey the normal distribution. The mean and variance of X areμ<sub>1</sub>,σ<sub>1</sub><sup>2</sup>, The mean and variance of Y areμ<sub>2</sub>,σ<sub>2</sub><sup>2</sup>, that is X~N(μ<sub>1</sub>,σ<sub>1</sub><sup>2</sup>), Y~N(μ<sub>2</sub>,σ<sub>2</sub><sup>2</sup>),This page is σ<sub>1</sub><sup>2</sup>,σ<sub>2</sub><sup>2</sup>which are same but unknown          mean differenceμ<sub>1</sub>-μ<sub>2</sub>make hypothesis test,the statistics are

<img align="middle" alt="" src="http://drr.ikcest.org/static/upload/03/03dbf6c6-ecb8-11e9-b84a-00163e0618d6_m.jpg" style="width: 150px;" > , among them <img align="middle" alt="" src="http://drr.ikcest.org/static/upload/0f/0fd6a304-ecb8-11e9-b84a-00163e0618d6_m.jpg" style="width: 230px;" >

,n<sub>1</sub>,<span style="text-decoration: overline">X</span>,S<sub>1</sub> are the sample size, sample mean, and sample standard deviation of the population X. n<sub>2</sub>,<span style="text-decoration: overline">Y</span>,S<sub>2</sub>are the sample size, sample mean, and sample standard deviation of the overall Y.