The manager of a swine operation wants to compare the litter…
The manager of a swine operation wants to compare the litter sizes of three pigs of pigs – Duroc, Yorkshire, and Large White. The manager obtains a random sample of litter sizes of sows of the three breeds as shown in the table below. Use Analysis of Variance to test at the 0.05 significance level if there is a difference in the average litter sizes of the three breeds of pigs. Litter size Large White Duroc Yorkshire 10 6 11 6 7 8 8 9 13 12 4 10 6 6 10 10 12 5 6 8 6 Total 42 67 64 Average 8.4 6.7 10.7 What should the manager of the swine operation conclude regarding the average litter sizes of these three breeds of pigs?