92. Grocery prices. WinCo Foods, a large discount grocery retailer in the western United States promotes itself as the lowest priced grocery retailer. In newspaper ads printed and distributed during January 2008, WinCo Foods published a price comparison for products between WinCo and several competing grocery retailers. One of the retailers compared against WinCo was Wal-Mart, also known as a low price 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 product and their price comparison at both WinCo and Wal-Mart are shown in the following table:

a) Do the prices listed indicate that, on average, prices at WinCo are lower than prices at Wal-Mart?

b) At the bottom of the price list, the following statement appears: “Though this list is not intended to represent a typical weekly grocery order or a random list of grocery items, WinCo continues to be the area’s low price leader.”
Why do you think WinCo added this statement?

c) What other comments could be made about the statistical validity of the test on price comparisons given in the ad?

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WinCo Wal-Mart Item Price Price Bananas (lb) 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 2.67 Deli Tater Wedges (lb) 1.18. 1.78 Beef Cube Steak (lb) 3.83 4.118 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 - 12 oz bottles) 12.68 12.84 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 2.42 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 2.50 Campbell's Soup at Hand, Cream of Tomato (10.75 oz) 1.18 1.26