The Restaurant Critic on a Newspaper Claims That the Hamburgers

Short Answer

The restaurant critic on a newspaper claims that the hamburgers that one gets at the hamburger chain restaurants are all equally bad and that people who claim to like one hamburger over others are victims of advertising. In fact, he claims that if there were no differences in appearance, then all hamburgers would be rated equally. To test the critic's assertion, ten teenagers are asked to taste hamburgers from three different fast-food chains. Each hamburger is dressed in the same way (mustard, relish, tomato, and pickle) with the same type of bun. The teenagers taste each hamburger and rate it on a 9-point scale with 1 = bad and 9 = excellent. The data are listed below. Which statistical technique is appropriate if you want to compare the quality of hamburger of the three chain restaurants?
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Can we infer at the 1% significance level that the critic is wrong?
Test Statistic: ______________
Reject Region:
Reject if the test statistic > ______________
Conclude: ______________
We ______________ infer at the 1% significance level that the critic is wrong.
Using the appropriate statistical table, what statement can be made about the p-value for this test?
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