Response Number Gender Satisfaction Level Distance in Km Age of the Responde Gross Monthly Incom Supermarket Expend 2 3 2 31 3300 2000 2 2 2 5 20 2000 1000 3 2 3 3 40 6000 3100 4 2 7 55 5500 2500 No 4 44 7800 3400 45 8000 4300 N 35 3000 1700 CO 26 3500 1500 10 76 9000 3700 10 2 65 8500 4100 11 41 4500 2000 12 47 5000 2600 13 33 2800 1600 14 N N 35 4000 1800 15 N 37 5850 2000 16 N 30 3580 1750 17 NO N 38 4100 2540 18 N 43 3200 1100 19 N 20 1700 700 20 N 10 58 7000 4000Problem 4 Problem 4a At a 1% level of significance, conduct the appropriate test of hypothesis involving the population mean for Variable 5 in your survey. Create a right tailed test where you specify the hypothesized mean (feel free to specify any value for the population claim that makes sense given your data). In your answer make sure that you show HO and Ha, sketch the sampling distribution showing the critical value(s) and the rejection region. Use your calculator to compute the test statistic and also state the decision and conclusion in the context of the survey. Show all your work . [10 marks] . Problem 4b What key assumption did you make in conducting the test in Problem 4a. Fully Explain. [2 marks]