Grocery Data Set Description WinCo Foods, a large discount grocery retailer in the western United States, promotes itself as the lowest priced grocery retailer. In newspaper ads WinCo Foods published a price comparison for products between WinCo and several competing grocery retailers. One of the retailers compared against WinCo was Walmart, also known as a lowprice competitor. WinCo selected a variety of products, listed the price of the product charges at each retailer, and showed the sales receipt to prove the prices at WinCo were the lowest in the area. A sample of the products and their price comparison at both WinCo and Walmart are given. Is the evidence supportive of WinCo Foods claim of being the lowest priced grocery retailer? Grocery TASKS [25 points] 1. Perform EDA [Exploratory Data Analysis) on the Grocery data set. This should be done separately for the two groups and must include mean, standard deviation, 5-number summary, and a graphical display (boxplot or histogram). Describe the center and standard error (provide the appropriate formulas and corresponding values) of the sampling distribution that your test statistic and condence interval are to be calculated from. In essence, this is the step where you are selecting the appropriate inferential procedure, so take your time. Conduct a twotailed hypothesis test for the true mean difference in price of grocery items. Use a = 0.01. Compute the 99% condence interval for the true mean difference in price of grocery items. Provide a written summary for your client that explains what you have found. This should include the results of your hypothesis test and condence interval using clear language in terms of what parameter you are estimating in the context of the problem. Grocery Prices Item WinCo WalMart Bananas (Ib) 0.42 0.56 Red Onions (lb) 0.58 0.98 Mini Peeled Carrots (1 lb bag) 0.98 1.48 Roma Tomatoes (lb) 0.98 1.19 Deli Tater Wedges (Ib) 1.18 1.78 Beef Cube Steak (Ib) 3.83 3.19 Beef Top Round London Broil (lb) 3.48 4.12 Pillsbury Devils Food Cake Mix (18.25 oz) 0.88 0.88 Lipton Rice and Sauce Mix (5.6 oz) 0.88 1.06 Sierra Nevada Pale Ale 12.68 9.99 GM Cheerios Oat Clusters (11.3 oz) 1.98 2.74 Charmin Bathroom Tissue (12 roll) 5.98 7.48 Bumble Bee Pink Salmon (14.75 oz) 1.58 1.98 Pace Thick & Chunky Salsa, Mild (24 oz) 2.28 2.78 Nalley Chili, Regular w/Beans (15 oz) 0.78 0.78 Challenge Butter (lb quarters) 2.18 2.58 Kraft American Singles (12 oz) 2.27 2.27 Yuban Coffee FAC (36 oz) 5.98 7.56 Totino's Pizza Rolls, Pepperoni (19.8 oz) 2.38 1.99 Rosarita Refried Beans, Original (16 oz) 0.68 0.73 Barilla Spaghetti (16 oz) 0.78 1.23 Sun-Maid Mini Raisins (14 -.5 oz) 1.18 1.36 Jif Peanut Butter, Creamy (28 oz) 2.54 2.72 Dole Fruit Bowl, Mixed Fruit (4 - 4 oz) 1.68 1.98 Progresso Chicken Noodle Soup (19 oz) 1.28 1.38 Precious Mozzarella Ball, Part Skim (16 oz) 3.28 4.23 Mrs. Cubbison Seasoned Croutons (6 oz) 0.88 1.12 Kellogg's Raisin Bran (20 oz) 1.98 2.5 Campbell's Soup at Hand, Cream of Tomato 1.18 1.26