I need this question answered with an explanation showing what formulas are used to answer this Is this linear regression or annova ?

1 - Poor Var 6 Vare 2 . Great 3. Excellent . What is your gross monthly Problem 6 You rake 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 - NC/N W N C NW 8 000 3000 3600 9 000 85 00 4500 5 000 2 2800 4000 NI 5800 2 3575 3250 Z 1700 (3 Food-Lab 5 Guided Solutions (Technology Manual) manu 1- Poor Varz Howwould 2 . Great Var 6 Problem 6 Yourate quality of our food 3- Excellent . What is your gross monthly 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 Two Sample T Hypothesis Test METERS Gross monthly Income 41: Mean of Excellent Gross Monthly 3300 Income 3580 M2: mean of Poor Gross Monthly income 2000 W, - 2: Difference between two means 3200 5500 Ho: Mi-4 2 = 0 7800 HAIM, -4270 -NON -W N - W N a 8 000 3000 ( with pooled variances ) with equal ya 3500 Excellent GrossIncome 9 000 Poor Gross Income 3300 8500 2000 3200 4500 7800 8000 5000 3500 8500 2 2800 4500 sooo 4000 4000 5 800 3 250 2 2 3575 3250 2 1700 (3 Food Hypothe sis test results : Difference Sample Difference, Stad. Err. DF T-Stat, Criticalt, P-Value - 641+ 66607 1336 . 0025 10 - 0.4802 8851 /1 81 24611 / 0.679.3