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(Solved): Melissa owns and manages a small business, seling food via carts to people in the business oiscrict ...




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Melissa owns and manages a small business, seling food via carts to people in the business oiscrict of her city, She provides incentives for the salespeopia operating the food carts. This year, she plans to offer manetary 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 doily saies 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. AvOVA 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 amang all the salespeople-) In her ANovA, the \"groups\" are the different salespeople, and the variable of interest is the daily sales amount, in dollars? (a) Below is an ANONA table summarizina Melissals ANOVA. Fill in the missing cell of the table. (fround your answer to at least two decimar places) (b) Hew manv total dally sales figuies (the Dgures from all days for all salespeople) were used in the ANOVA? (c) For the Anova teat, \\( \\pi \\) is assumed that the populabon variance of daily saies is the same for each saiespermon. What is an unbased eatimate of this cammon bobulabion variance based on the sample variances?\r\n\r\n(d) What is the pivalue corresponding to the F statistic for the AwOvA test? Round your answer to at ieast three decimal places. (e) Can we condude, using the 0.05 level of significance, that at least one salesperson's mean daity saies is significantly of flecelt from that of the otheris?


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a) 1.86
b) 361
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