In 2007, the United States experienced the biggest jump in food prices in 17 years (The Wall Street Journal, April 1, 2008). A variety of reasons led to this result, including rising demand for meat and dairy products in emerging overseas markets, increased use of grains for alternative fuels, and bad weather in some parts of the world. A survey compared prices (in $) of selected products at grocery stores in the Boston area. The accompanying table shows the results.ItemCrosby’sShaw’sMarket BasketTwo-liter Coke 1.791.59 1.50Doritos chips 4.29 4.99 3.50Cheerios cereal 3.69 2.99 3.00Prince spaghetti 1.59 1.69 1.99Skippy peanut butter 5.49 4.49 3.99Cracker Barrel cheese 4.99 4.99 3.49Pepperidge Farm white bread 3.99 3.99 3.99Oreo cookies 4.69 3.39 3.00One dozen eggs* 2.49 2.69 1.59Coffee* 4.49 4.79 3.99Gallon of milk* 3.69 3.19 1.59In a report, use the sample information toDetermine whether differences exist in the average prices of products sold at the three stores at the 5% significance level.Determine whether differences exist in the average prices of the 11 products at the 5% significance level.Determine which stores’ prices differ using Tukey’s HSD method, if it is found that differences exist in the average prices among these three stores. Use a 5% significance level.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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In 2007, the United States experienced the biggest jump in food prices in 17 years (The Wall Street Journal, April 1, 2008). A variety of reasons led to this result, including rising demand for meat and dairy products in emerging overseas markets, increased use of grains for alternative fuels, and bad weather in some parts of the world. A survey compared prices (in $) of selected products at grocery stores in the Boston area. The accompanying table shows the results.

Item	Crosby’s	Shaw’s	Market Basket
Two-liter Coke	1.79	1.59	1.50
Doritos chips	4.29	4.99	3.50
Cheerios cereal	3.69	2.99	3.00
Prince spaghetti	1.59	1.69	1.99
Skippy peanut butter	5.49	4.49	3.99
Cracker Barrel cheese	4.99	4.99	3.49
Pepperidge Farm white bread	3.99	3.99	3.99
Oreo cookies	4.69	3.39	3.00
One dozen eggs*	2.49	2.69	1.59
Coffee*	4.49	4.79	3.99
Gallon of milk*	3.69	3.19	1.59

In a report, use the sample information to

Determine whether differences exist in the average prices of products sold at the three stores at the 5% significance level.
Determine whether differences exist in the average prices of the 11 products at the 5% significance level.
Determine which stores’ prices differ using Tukey’s HSD method, if it is found that differences exist in the average prices among these three stores. Use a 5% significance level.

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