14.1 Restaurant satisfaction The CEO of a company that owns six restaurants wants to evaluate and compare visitor satisfaction across all six restaurants. The company’s research department randomly sampled 150 people who had visited any of the restaurants during the past month and asked them to rate their expectations of the restaurant before their visit and to rate the quality of the actual visit. Both observations used a rating scale of 0–5, with 0 = very poor and 5 = excellent. The researchers compared the restaurants on the gap between prior expectation and actual quality, using the difference score, y = performance gap = 1prior expectation score -

actual quality score2.

a. Identify the response variable, the factor, and the categories that form the groups.

b. State the null and alternative hypotheses for conducting an ANOVA.

c. Explain why the df values for this ANOVA are df1 = 5 and df2 = 144.

d. How large an F test statistic is needed to get a P@value = 0.05 in this ANOVA?