A consumer magazine is preparing a story about the "convenience" of convenience stores. In particular, the magazine is examining shopping durations at convenience store chains. Shopping duration refers to the amount of time that elapses from the moment a customer enters the store to the moment he leaves the store. The magazine is comparing the shopping durations at the two convenience store chains Fast 4 U and Ready Mart. The magazine also is examining whether time of day (daytime or nighttime) affects the shopping durations. For each of the chains, the magazine recorded 15 daytime shopping durations at random and 15 nighttime shopping durations at random. The magazine computed the group mean for each of the four groups. These means are shown in the graph below. 78 - 73 - Nighttime 6.8 - Daytime 63 - Fast 4 Ready Mart After checking that the assumptions for the test were satisfied, the magazine performed a two-way ANOVA test. (The dependent variable was shopping duration, and the factors were time of day and chain.) (a) The results of the ANOVA test are summarized below. Fill in the missing values. Do not round any values except the F statistic values, which you should round to at least three decimal places. Source of Degrees of Sum of Mean (a) The results of the ANOVA test are summarized below. Fill in the missing values. Do not round any values except the F statistic values, which you should round to at least three decimal places. Source of Degrees of Sum of Mean variation squares F statistic freedom square X ? Time of day 1.838 1.838 1.424 Chain 8.438 Interaction 0.038 Error 56 72.29 1.2909 Total 59 82.604 (b) What is the p-value for the test for an interaction between the two factors? Round to at least three decimal places. X (c) At the 0.05 significance level, can the magazine conclude that there is an interaction? If your response is No, select the factors which the magazine can conclude that there is a significant main effect. Yes, there is an interaction. No, there is no interaction. The main effect: Time of day Chain Both Neither