Bi-Weekly Quiz 4 双周测验 4

Task 1 (1.04 mark): One-way ANOVA
任务 1（1.04 分）：单因子方差分析

Five independent samples, each has 40 values, are taken from To test whether the means of the five populations are equal, a one-way ANOVA model is used. The total sum of squares of the data (SST) is 27500, and this ANOVA model can account for 15% of the total variation. An incomplete ANOVA table is given below.
为了检验五个群体的均值是否相等，采用了单因素方差分析模型。数据的总平方和（SST）为 27500，该方差分析模型可以解释总变异的 15%。下面是一个不完整的方差分析表。

Answer Question 1 to Question 8.
回答问题 1 至问题 8。

Task 2 (0.48 mark): Jarque-Bera Testing for Normality
任务 2（0.48 分）：Jarque-Bera 正态性检验

A random sample of 40 values is taken from a continuous distribution and the result of the Jarque-Bera test is given below.
从连续分布中随机抽取 40 个值，Jarque-Bera 检验的结果如下。

The test statistic is $J{B}_0=\frac{n}{6}(s^2+\frac{1}{4}(k-3{)}^2)$. Answer Question 9 to Question 11.
检验统计量为 $J{B}_0=\frac{n}{6}(s^2+\frac{1}{4}(k-3{)}^2)$ 。回答问题 9 至问题 11。

Task 3 (0.48 mark): Correlation Analysis
任务 3（0.48 分）：相关分析

A random sample of 150 pairs of (x,y) values is taken and the results of the correlation analysis are given in the table below.
随机抽取了 150 对 (x,y) 值，相关性分析结果如下表所示。

The test statistic is  $t_0=\frac{r-{\rho }_0}{\sqrt{\frac{1-r^2}{n-2}}}$. Answer Question 12 to Question 14.
检验统计量为 $t_0=\frac{r-{\rho }_0}{\sqrt{\frac{1-r^2}{n-2}}}$ 。回答问题 12 至问题 14。