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who specializes in weight control has three different diets she recommends. As an experiment, she randomly selected 15 patients and then assigned 5 to each diet. After three weeks the following weight losses, in pounds, were noted. At the 0.5 significance level, can she conclude that there is a difference in the mean amount of weight loss among the three diets? Plan A Plan B Plan C 5 6 7 7 7 8 4 7 9 5 5 8 4 6 9 2. Three assembly lines are used to produce a certain component for an airliner. To examine the production rate, a random sample of six hourly periods is chosen for each assembly line and the number of components produced during these periods for each line is recorded. The output from a statistical software package is: Summary Groups Count Sum Average Variance LineA 6 250 41.66667 0.266667 LineB 6 260 43.33333 0.666667 LineC 6 249 41.5 0.7 ANOVA Source of Variation SS df MS F p-value Between Groups 12.33333 2 6.166667 11.32653 0.001005 Within Groups 8.166667 15 0.544444 Total 20.5 17 3. The district sales manager for a major automobile manufacturer is studying car sales. Specifically, he would like to determin what factors affect the number of cars sold at a dealership. To investigate, he randomply selects 12 dealers. From these dealers he obtains the number of cars sold last month, the minutes of radio advertising purchased last month, the number of full-time salespeople employed in the dealership, and whether the dealer is located in the city. The information is as follows: Cars Sold Last Month Advertising Sales Force City Y X1 X2 X3 127 18