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1 - Poor Var 6 2. Great How would 3- Excellent . What is your gross monthly Problem 6 Yal rate quality of our food income ? At a 5% level of significance, conduct the appropriate fest 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 HO 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. Use StatCrunch to generate the results window that displays the appropriate test statistic for this problem. Hand sketch the results window (as displayed in StatCrunch) in the test statistic section of this hypothesis test and then write in the test statistic below the sketch. Hint: In StatCrunch start by displaying the the values of Variable 6 for each of the three subsets for Variable 2 in three new columns of your survey data file by doing the following: Data, Arrange, Split and then select the quantitative variable in this question as the Column Variable and the qualitative variable in this question as the "Split by: " variable. [8 marks] . Var 2 Food Quality Var 6 Gross monthly Income 3300 3580 2000 3200 5500 7800 8 000 3000 3500 9 000 8500 4500 5000 2 2800 4000 2 5 800 3575 3250 1700 (3 Food