At a 5% level of significance, conduct the appropriate test of hypothesis that determines whether at least one of the three subsets for Variable 2 (in your survey and responses in Problem 1) has a significant effect on the population mean relating to Variable 6. In your answer make sure that you show H0 and Ha, sketch the sampling distribution showing the critical value(s) and the rejection region and state your decision and conclusion in the context of your survey. Where relevant, keep all your work and your final answer to a minimum of four decimals, unless otherwise stated.(8 marks)

Satisfy (variable 2) ( 1= very satisfied, 2= satisfied, 3= not satisfied)

1

1

1

1

1

1

1

1

1

1

2

3

1

2

3

1

2

3

1

2

Income (variable 6)

2200

2500

4500

4000

4000

4000

4000

5000

6000

3000

3500

4000

4500

5000

6000

4800

4200

6000

1500

1500