Three different suppliers provide parts in shipments. Random sample of six shipments from each of

the three suppliers were carefully checked, and the number of parts not conforming to standards

were recorded.

Shipment I Shipment II Shipment III

23 25 23

25 28 28

19 21 24

26 35 30

24 33 35

28 38 34

T1=145 T2=180 T3=174

x^2= 14329 x=499.

(a) Estimate and prepare the analysis of variance (ANOVA) table

(b) Test the null hypothesis that the population mean numbers of parts per shipments not

conforming to standards are the same for all three suppliers