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assignmentutor-lab™ 为您的留学生涯保驾护航 在假设检验hypothesis testing作业代写方面已经树立了自己的口碑, 保证靠谱, 高质且原创的统计Statistics代写服务。我们的专家在假设检验hypothesis testing代写方面经验极为丰富，各种假设检验hypothesis testing相关的作业也就用不着 说。

• 时间序列分析Time-Series Analysis
• 马尔科夫过程 Markov process
• 随机最优控制stochastic optimal control
• 粒子滤波 Particle Filter
• 采样理论 sampling theory

## 统计代写|假设检验代写hypothesis testing代考|What is t distribution

t Distribution, also known as Student’s t distribution, is a continuous probability distribution that is close to normal distribution in the shape and some properties. t Distribution is usually used to test population means when the sample size is small. t Distribution depends on the concept of degrees of freedom. The properties of $t$ distribution are:

1. t Distribution has a bell shape and is symmetric about the mean which is equal to 0 ;
2. The variance of $t$ distribution is always greater than 1 ;
3. t Distribution becomes closer to standard normal distribution when the sample size increases;
4. The variable of $\mathrm{t}$ distribution takes values within the range from $-\infty$ to $\infty$ (infinity);
5. The number of degrees of freedom $(d . f)$ affects the shape of the $t$ distribution as is shown clearly in Fig. $3.1$ for $t$ distribution curves for various degrees of freedom.

## 统计代写|假设检验代写hypothesis testing代考|Finding the t critical values

Critical values are usually used to make a decision regarding a hypothesis. Getting $\mathrm{t}$ critical values requires providing information about the degrees of freedom $(d . f)$ and the level of significance $(\alpha)$ then using the $t$ table for critical values. The $t$ critical values are provided in Table B in the Appendix. The first column on the left represents the degrees of freedom $(d . f)$ from 1 to $\infty$, while the first upper row represents the level of significance $(\alpha)$.

Example 3.1: Finding the critical value for a right-tailed t-test: Use a significance level of $0.01(\alpha=0.01)$ and degrees of freedom of $11(d . f=11)$ to obtain the t critical value for the right-tailed test.

We can obtain the t critical value for a right-tailed test as long as two values are provided, the two values are the degrees of freedom “d.f=11″ and significance level ” $\alpha=0.01 . “$

• The first step in extracting the $t$ critical value is to specify the location of “d.f $=11$ ” in the first column of Table 3.1, labeled d.f (highlighted row 11). Table $3.1$ is a portion of Table B in the Appendix.
• The second step is to specify the location of $\alpha=0.01$ in the first upper row and then move on the column (highlighted column $0.01$ ) to the row labeled $d . f=11$; the value that represents the point of intersection between $d . f=11$ and $\alpha=0.01$ is the $\mathrm{t}$ critical value. One can observe that the $\mathrm{t}$ critical value is $\mathbf{2 . 7 1 8}$ as shown in Table $3.1$ (bold value).

Example 3.2: Finding the critical value for a left-tailed t-test: Use a significance level of $0.01(\alpha=0.01)$ and degrees of freedom of $11(d . f=11)$ to obtain the $\mathrm{t}$ critical value for the left-tailed test. We can obtain the $t$ critical value for the left-tailed test as long as the two values are already provided, the degrees of freedom ” $d . f=11$ ” and significance level ” $\alpha=0.01$.”

• The first step in extracting the t critical value is to specify the location of ” $d . f=11$ ” in the first column of Table $3.2$, labeled d.f (highlighted row 11). Table $3.2$ is a portion of Table B in the Appendix.
• The second step is to specify the location of $\alpha-0.01$ in the first upper row and then move on the column (highlighted column $0.01$ ) to the row labeled $d . f=11$; the value that represents the point of intersection between $d . f=11$ and $\alpha=0.01$ is the $\mathrm{t}$ critical value. One can observe that the $\mathrm{t}$ critical value is $\mathbf{2 . 7 1 8}$ as shown in Table $3.2$ (bold value).

# 假设检验代写

## 统计代写|假设检验代写hypothesis -testing代考| t分布是什么

t分布，又称Student’st分布，是一种在形状和某些性质上接近于正态分布的连续概率分布。t分布通常用于检验样本量较小时的总体均值。分布取决于自由度的概念。$t$分布的属性是:

• t分布呈钟形，其均值为0对称;
• 的方差 $t$
• t当样本量增加时，分布更接近标准正态分布;
• 变量 $\mathrm{t}$ 分布接受从范围内的值 $-\infty$ 到 $\infty$
• 自由度的个数 $(d . f)$ 的形状 $t$ distribution as is shown clearly in Fig. $3.1$ 为 $t$ 不同自由度的分布曲线。

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## MATLAB代写

MATLAB 是一种用于技术计算的高性能语言。它将计算、可视化和编程集成在一个易于使用的环境中，其中问题和解决方案以熟悉的数学符号表示。典型用途包括：数学和计算算法开发建模、仿真和原型制作数据分析、探索和可视化科学和工程图形应用程序开发，包括图形用户界面构建MATLAB 是一个交互式系统，其基本数据元素是一个不需要维度的数组。这使您可以解决许多技术计算问题，尤其是那些具有矩阵和向量公式的问题，而只需用 C 或 Fortran 等标量非交互式语言编写程序所需的时间的一小部分。MATLAB 名称代表矩阵实验室。MATLAB 最初的编写目的是提供对由 LINPACK 和 EISPACK 项目开发的矩阵软件的轻松访问，这两个项目共同代表了矩阵计算软件的最新技术。MATLAB 经过多年的发展，得到了许多用户的投入。在大学环境中，它是数学、工程和科学入门和高级课程的标准教学工具。在工业领域，MATLAB 是高效研究、开发和分析的首选工具。MATLAB 具有一系列称为工具箱的特定于应用程序的解决方案。对于大多数 MATLAB 用户来说非常重要，工具箱允许您学习应用专业技术。工具箱是 MATLAB 函数（M 文件）的综合集合，可扩展 MATLAB 环境以解决特定类别的问题。可用工具箱的领域包括信号处理、控制系统、神经网络、模糊逻辑、小波、仿真等。

assignmentutor™您的专属作业导师
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