# Taylor’s company does filling operation in a ground-beef packing plant. Three filling operations are studied by...

###### Question:

Taylor’s company does filling operation in a ground-beef packing plant. Three filling operations are studied by a research team. The first random sampling contained 25 packages resulting means and standard deviations were 1405.5 g and 11.2 g. The second random sampling contained 45 packages resulting means and standard deviations were 1410 g and 10.5 g and lastly the third random sampling contained 50 packages resulting means and standard deviations were 1412.5 g and 9.5 g.

a. Using a .05 significance level, is there sufficient evidence to indicate that the true mean weight of the packages differs for the first and second rounds of packaging?

b. Using a .05 significance level, is there sufficient evidence to indicate that the true mean weight of the packages the second round is smaller than the third rounds of packaging?

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