Question

A SRS of homes for sale in three cities in California resulted in the following data (prices are given in thousands of dollars) San Mateo 1435 1296 1890 2100 1400 1000 Belmont 1543 1432 1231 1268 2300 San Carlos 1340 1400 1865 2549 1300 1456 When testing to see if the mean price of all homes for sale in these 3 cities are equal, a) Identify the type of test statistic and give its value b) Sketch the appropriate distribution and on it identify the test sta Screenshot value Screenshot taken c) State the conclusion in response to the claim Show in folder • now

Answer 1

We have Tis The sum of observation San Mateo e 91211 T2 = The sum of observation Belmont = 7774 T3 = The sum of observation is San Carlas 9910 CA = Goand fofal = Tit T2+ T3 26.805 {x? 25 The sum of squares of all obsensation = 45066761 SSTOH = 58? - G2 = {x? 1 n = 45066761 - (26805) 17 = 2801583.059 SS Bet こ (9121024(1774)27 (991032 (26805) 6 6 17 55294 Sswithin = STOŁ SS Bet = 28015830059 - 55294 2746289.059

55294 27647 2 MSBET 3 SSBED 2 Mswithin = S Swithin 14 2746289 14 196163 F 0.141 MSBEI. Ms within 27647 196163 a) We want jest, HO: The mean price of all homes for sale in these 3 cities ao e equal. Hi: Atleast one mean porce of sale is different for one than others. Test statistic :: One way 0:141 way ANOVA 도 = 16) Ho Acceptance Begion Reject Reject Ho 20:1417 4 + F(2,14,81-4/2) F(2,14,212) we may Here F = 0.141 p-value = PCF>0:141) =0.87 > 2=0.05. fail to veject full hypothesis. Conclusion. There is sufficient evidence to conclude that data supported to the claim the pean price of all homes foo sale in g cities are equal.