Question

1. The owner of Ranch Style Burgers wants to determine if its speed of service is different across its three outlets. Orders at the Ranch Style restaurants are tracked electronically, and the chain is able to determine the speed with which every order is filled. The owner decided to randomly sample 20 orders from each of the three restaurants it operates. Given the following incomplete ANOVA, please answer the questions below. a. What is the number for the Between Groups degrees of freedom? Answer - b. What is the number for the Within Groups degrees of freedom? Answer - c. What is the F test statistic value? Answer - Anova: Single Factor SUMMARY Groups Restaurant 1 Restaurant 2 Restaurant 3 Count 20 20 20 Sum 4875 4500 5094 Average 243.75 225 254.7 Variance 145.7763158 181.7894737 164.2210526 ANOVA Source of Variation Between Groups Within Groups ss MS 4511.85 163.92895 P-value 4.31114E-09 Fcrit 4.99810956 9023.7 9343.95 | Total 18367.65

Answer 1

solution The general ANOYA single factoo table is IF Tp-value SSBEL sousle of Isseum of lafcdegree/MSIF variation squares ) of freedom Between gooups SSBET K-1 within aroups ssw AK Total sf tot Ipfel MSBEL MSW SNV DSSBEL d. f)BEL -- comparing to given table. ஓ - Dual of SSW K - 3 (dofw (d)8e7=_K-| - = 3-1 = 2 the dumber of red between groups degree of toeedom 27 0 Litw = N-K Total = M-/ 59 = M- ? From summary taotegiven theit footwet-59} -in= 60 Eddwy - 60 -3 = 57 -- 1 | The number for the within gooups degree of freedom 157] O MSW E-statistics MSBEL – 4511.8. 163.92895 F-statistic=27:523204