Cris Turlock owns and manages a small business in San Francisco, California. The

Question

Cris Turlock owns and manages a small business in San Francisco, California. The business provides breakfast and brunch food, via carts parked along sidewalks, to people in the business district of the city. Being an experienced businessperson, Cris provides incentives for the salespeople operating the food carts. This year, she plans to offer monetary bonuses to her salespeople based on their individual mean daily sales. Her first task is to see if there is a significant difference in the mean daily sales among the different salespeople. She chooses a "sample" of days for each salesperson and records the sales for each day. She then runs a one-way, independent-samples ANOVA test to determine whether or not she can conclude that at least one salesperson's performances is significantly different from the others. (Otherwise, she'll split the bonuses evenly among all the salespeople.) In her ANOVA, the "groups" are the different salespeople, and the variable of interest is the daily sales amount, in dollars. Below is an ANOVA table summarizing Cris' ANOVA. Fill in the missing cell of the table (round your answer to at least two decimal places), and then answer the questions about the ANOVA. Source of Degrees ofSum of VariationFreedomSquares Mean Square F statistic Between5 groups 30300.09 6060.02 Error (Within559 Groups) 1310831.1 2344.96 Total 564 1Ai1

Explanation / Answer

1) F statistic =MSR/MSE =6060.02/2344.96=2.58

2)total daily sales figures =564+1 =565

3) estimated variance =2344.96

4)

critical F at 0.01 level and 5,559 degree of freedom=3.05

5)

No ; as test statistic is less than crtiical value

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