设有两个相互独立的正态总体,总体一为N1=2,具变量3、6,其平均数μ1=4.5,方差为2.25,以n1=3进行抽样试验;总体二为N2=3,具变量2、4、6,其平均数μ2=4,方差为2.6667,以n2=2进行抽样试验,用matlab编程实现这个过程
时间: 2024-06-13 15:08:30 浏览: 102
根据提供的引用内容,我们可以得到以下信息:
总体一:N1=2,具变量3、6,平均数μ1=4.5,方差为2.25,以n1=3进行抽样试验。
总体二:N2=3,具变量2、4、6,平均数μ2=4,方差为2.6667,以n2=2进行抽样试验。
为了用matlab编程实现这个过程,我们可以按照以下步骤进行:
1.定义总体一和总体二的参数。
```matlab
N1 = 2;
N2 = 3;
mu1 = 4.5;
mu2 = 4;
var1 = 2.25;
var2 = 2.6667;
n1 = 3;
n2 = 2;
```
2.生成总体一和总体二的随机样本。
```matlab
sample1 = normrnd(mu1, sqrt(var1), [1, n1]);
sample2 = normrnd(mu2, sqrt(var2), [1, n2]);
```
3.计算总体一和总体二的样本均值和样本方差。
```matlab
sample_mean1 = mean(sample1);
sample_mean2 = mean(sample2);
sample_var1 = var(sample1);
sample_var2 = var(sample2);
```
4.计算t值和p值。
```matlab
s = sqrt((sample_var1/n1) + (sample_var2/n2));
t = (sample_mean1 - sample_mean2) / s;
df = n1 + n2 - 2;
p = 2 * (1 - tcdf(abs(t), df));
```
完整的matlab代码如下:
```matlab
N1 = 2;
N2 = 3;
mu1 = 4.5;
mu2 = 4;
var1 = 2.25;
var2 = 2.6667;
n1 = 3;
n2 = 2;
sample1 = normrnd(mu1, sqrt(var1), [1, n1]);
sample2 = normrnd(mu2, sqrt(var2), [1, n2]);
sample_mean1 = mean(sample1);
sample_mean2 = mean(sample2);
sample_var1 = var(sample1);
sample_var2 = var(sample2);
s = sqrt((sample_var1/n1) + (sample_var2/n2));
t = (sample_mean1 - sample_mean2) / s;
df = n1 + n2 - 2;
p = 2 * (1 - tcdf(abs(t), df));
```
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