Citrus fruit stacked on pallets is susceptible to damage from high temperatures. Consequently, containers have been designed to keep the fruit cool. The Journal of Food Engineering (September 2013) published an article that investigated the cooling performance of an existing fruit container design (Standard) and two new container designs (Supervent and Ecopack). Assume that all three designs arrange the fruit in three rows. Pallets of oranges were randomly divided into three groups. One group was stored using the Standard container design, one was stored using the Supervent design, and one was stored using the Ecopack design. Since oranges in the first row of the container tend to stay cooler than those in the back rows, the researchers used a randomized block design, with rows representing the blocks and the container design representing the treatments. The response variable of interest was the half-cooling time, measured as the time (in minutes) required to reduce the temperature difference between the fruit and cooling air by half. Half-cooling times were measured for each row of fruit for each design. Simulated data are listed in the table on the top of the next page. Conduct a nonparametric analysis of variance of the data. Interpret the results using α = .10.

Data for Exercise 15.64

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Ecopack Standard Supervent 93 139 115 116 Row I 181 181 164 167 Row 3 176 247