Var 3 - Dist. in KM

Var 5 - Gross Monthly inc.

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 5 At a 2.5% level of significance, conduct the appropriate hypothesis test to see if there is a statistically significant positive correlation between Variable 3 and Variable 5, based on the twenty 20 pairs of sample data values you created for these two variables in Problem 1. 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 correlation coefficient and test statistic and also state the decision and conclusion in the context of the survey. Show all your work . [10 marks]