Six food critics each visited and rated four different restaurants. Each critic visited each restaurant on three separate occasions and recorded a score for each visit. The critical value for testing whether there is any difference among the four restaurants, using the 0.05 level of significance is approximately F = 2.8.

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The critical value for an F-test depends on the degrees of freedom for the numerator and the denominator, which are determined by the number of groups (restaurants) and the number of observations. With four restaurants and multiple observations, a critical value around F = 2.8 is plausible for a 0.05 significance level.

Six Food Critics Each Visited and Rated Four Different Restaurants