HI6007 Statistics For Business Decisions - Tutorial Questions

Question 4 (11 marks)

The table below shows data on research to examine the perception of business ethics among 3 groups
of employees (higher score indicates higher ethical values).
A B C
6 5 6
5 5 7
4 4 6
5 4 5
6 5 6
4 4 6
5 5 6
4 6 6
6 5 4
5 6 5

a. State the null and alternative hypothesis for single factor ANOVA to test for any significant difference in the perception among three groups. (1 marks)
b. State the decision rule at 5% significance level. (2 marks)
c. Calculate the test statistic. (6 marks)
d. Based on the calculated test statistics decide whether any significant difference in the mean price of gasoline for three bands. (2 marks)
Note: No excel ANOVA output allowed. Students need to show all the steps in calculations.