A company conducts a consumer research project to examine whether a significant difference in customer satisfaction exists between its customers in Sydney, Melbourne, and Newcastle. Customer satisfaction is measured using a scale ranging from 1 to 7 where 1 represents very dissatisfied, 4 represents neither satisfied nor dissatisfied and 7 represents very satisfied. Ten customers from each of the three cities participate in the research. The Excel output of the research is presented below: Customer Satisfaction Location Mean N Std. Deviation Melbourne Newcastle Sydney Total 3.4000 4.9000 3.1000 3.8000 10 10 10 30 1.26491 1.19722 1.28668 1.44795 Customer Satisfaction df Mean Square F Sum of Squares 18.600 Sig. 2 9.300 5.950 .007 Between Groups Within Groups Total 42.200 27 1.563 60.800 29 You are required to answer the following: a. Explain which statistical test is appropriate to examine whether there is a difference in the mean satisfaction level among the three locations at 5% significance level. (1 mark) b. Write the null and alternative hypotheses. (1 mark) c. Should you reject the null hypothesis? Explain the conclusion of this analysis. (1 mark) d. Are there any further tests you could conduct to better understand the difference in the mean? (2 mark)