you will be playing the role of a data analyst for the Food and Drug Administration (FDA). Below is a description of the data set you have been provided with and the specific tasks the FDA needs you to complete. Cereal Data Set Description This data set contains certain information about 74 of the cereals available for purchase throughout the United States. Each row of the data set contains the name of the cereal, the manufacturer, the values for calories, protein, sodium, fiber, complex carbohydrates, and sugar per serving, and finally the consumer rating. Tasks 1. Write a brief summary that describes the center, shape and spread (variability) of the Sodium (mg) variable. Include a graphical display (boxplot or histogram). 2. Using the 1.5 IQR Criterion, assess whether the Fiber (g) variable has any outliers. Provide support showing how you arrived at you lower and upper thresholds. If any are present in the data, provide the name of the cereal(s). 3. Compute the 95% confidence interval for the true mean amount of Sugar (g) in one serving of cereals available for purchase in the United States. Provide the form, setup and values for the lower and upper bounds. Also provide an interpretation for the interval you arrived at. 4. Using a = 0.02, conduct a two-tailed hypothesis test to determine if a difference exists in the Rating for cereals manufactured by General Mills and Kelloggs. Provide the hypotheses, critical value(s), support for the test statistic and p-value, and your decision with justification. 5. Briefly explain what, if anything, would change if you were told to use a = 0.01 instead of a = 0.02 in the above hypothesis test. Name Manufacturer Calories Protein (g) Sodium (mg) Fiber (g) Complex Carbohydrates (g) Sugar (g) Rating Apple Cinnamon Cheerios General Mills 110 2 180 1.5 10.5 10 29.5 Basic 4 General Mills 130 3 210 2 18 8 37.0 Cheerios General Mills 110 6 290 2 17 1 50.8 Cinnamon Toast Crunch General Mills 120 1 210 0 13 9 19.8 Clusters General Mills 110 3 140 2 13 7 40.4 Cocoa Puffs General Mills 110 1 180 0 12 13 22.7 Count Chocula General Mills 110 1 180 0 12 13 22.4 Crispy Wheat & Raisins General Mills 100 2 140 2 11 10 36.2 Golden Grahams General Mills 110 1 280 0 15 9 23.8 Honey Nut Cheerios General Mills 110 3 250 1.5 11.5 10 31.1 Kix General Mills 110 2 260 0 21 3 39.2 Lucky Charms General Mills 110 2 180 0 12 12 26.7 Multi-Grain Cheerios General Mills 100 2 220 2 15 6 40.1 Oatmeal Raisin Crisp General Mills 130 3 170 1.5 13.5 10 30.5 Raisin Nut Bran General Mills 100 3 140 2.5 10.5 8 39.7 Total Corn Flakes General Mills 110 2 200 0 21 3 38.8 Total Raisin Bran General Mills 140 3 190 4 15 14 28.6 Total Whole Grain General Mills 100 3 200 3 16 3 46.7 Triples General Mills 110 2 250 0 21 3 39.1 Trix General Mills 110 1 140 0 13 12 27.8 Wheaties General Mills 100 3 200 3 17 3 51.6 Wheaties Honey Gold General Mills 110 2 200 1 16 8 36.2 All-Bran Kelloggs 70 4 260 9 7 5 59.4 All-Bran with Extra Fiber Kelloggs 50 4 140 14 8 0 93.7 Apple Jacks Kelloggs 110 2 125 1 11 14 33.2 Corn Flakes Kelloggs 100 2 290 1 21 2 45.9 Corn Pops Kelloggs 110 1 90 1 13 12 35.8 Cracklin' Oat Bran Kelloggs 110 3 140 4 10 7 40.4 Crispix Froot Loops Kelloggs 110 2 220 1 21 3 46.9 Kelloggs 110 2 125 1 11 13 32.2 Frosted Flakes Kelloggs 110 1 200 1 14 11 31.4 Frosted Mini Wheats Kelloggs 100 3 0 3 14 7 58.3 Fruitful Bran Kelloggs 120 3 240 5 14 12 41.0 Just Right Crunchy Nuggets Kelloggs 110 2 170 1 17 6 36.5 Just Right Fruit & Nut Kelloggs 140 3 170 2 20 9 36.5 Mueslix Crispy Blend Kelloggs 160 3 150 3 17 13 30.3 Nut&Honey Crunch Kelloggs 120 2 190 0 15 9 29.9 Nutri-Grain Almond-Raisin Kelloggs 140 3 220 3 21 7 40.7 Nutri-grain Wheat Kelloggs 90 3 170 3 18 2 59.6 Product 19 Kelloggs 100 3 320 1 20 3 41.5 Raisin Bran Raisin Squares Rice Krispies Smacks Kelloggs 120 3 210 5 14 12 39.3 Kelloggs 90 2 0 2 15 6 55.3 Kelloggs 110 2 290 0 22 3 40.6 Kelloggs 110 2 70 1 9 15 31.2 Special K Kelloggs 110 6 230 1 16 3 53.1 100% Bran Shredded Wheat Nabisco 70 4 130 10 5 6 68.4 Nabisco 80 2 0 3 16 0 68.2 Shredded Wheat 'n' Bran Nabisco 90 3 0 4 19 0 74.5 Shredded Wheat Spoon Size Nabisco 90 3 0 3 20 0 72.8 Strawberry Fruit Wheats Nabisco 90 2 15 3 15 5 59.4 Bran Flakes Post 90 3 210 5 13 5 53.3 Fruit & Fibre Dates - Walnuts and Oats Post 120 3 160 5 12 10 40.9 Fruity Pebbles Post 110 1 135 0 13 12 28.0 Golden Crisp Post 100 2 45 0 11 15 35.3 Grape Nuts Flakes Post 100 3 140 3 15 5 52.1 Grape-Nuts Post 110 3 170 3 17 3 53.4 Great Grains Pecan Post 120 3 75 3 13 4 45.8 Honey-comb Post Nat. Raisin Bran Post 110 1 180 0 14 11 28.7 Post 120 3 200 6 11 14 37.8 100% Natural Bran Quaker Oats 120 3 15 2 8 8 34.0 Cap'n' Crunch Quaker Oats 120 1 220 0 12 12 18.0 Honey Graham Ohs Quaker Oats 120 1 220 1 12 11 21.9 Life Quaker Oats 100 4 150 2 12 6 45.3 Puffed Rice Quaker Oats 50 1 0 0 13 0 60.8 Puffed Wheat Quaker Oats 50 2 0 1 10 0 63.0 Quaker Oat Squares Quaker Oats 100 4 135 2 14 6 49.5 Almond Delight Bran Chex Ralston Purina 110 2 200 1 14 8 34.4 Ralston Purina 90 2 200 4 15 6 49.1 Corn Chex Ralston Purina 110 2 280 0 22 3 41.4 Double Chex Ralston Purina 100 2 190 1 18 5 44.3 Muesli Raisins - Dates and Almonds Ralston Purina 150 4 95 3 16 11 37.1 Muesli Raisins - Peaches and Pecans Ralston Purina 150 4 150 3 16 11 34.1 Rice Chex Ralston Purina 110 1 240 0 23 2 42.0 Wheat Chex Ralston Purina 100 3 230 3 17 3 49.8