Bi-Weekly Quiz 4

Task 1 (1.04 mark): One-way ANOVA

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.

Answer Question 1 to Question 8.

Task 2 (0.48 mark): Jarque-Bera Testing for Normality

A random sample of 40 values is taken from a continuous distribution and the result of the Jarque-Bera test is given below.

The test statistic is $J{B}_0=\frac{n}{6}(s^2+\frac{1}{4}(k-3{)}^2)$. Answer Question 9 to Question 11.

Task 3 (0.48 mark): Correlation Analysis

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.

The test statistic is  $t_0=\frac{r-{\rho }_0}{\sqrt{\frac{1-r^2}{n-2}}}$. Answer Question 12 to Question 14.