Question

Chicken diet and weight. In previous chapter, we compared the effects of two types of feed at a time. A better analysis would first consider all feed types at once: casein, horsebean, linseed, meat meal, soybean, and sunflower. The ANOVA output below can be used to test for differences between the average weights of chicks on different diets. DF Sum Sa Mean Sq F value Pr(>F) feed 5 231129.16 46225.83 15.36 0.0000 residuals 65195556.02 3008.55 Conduct a hypothesis test to determine if these data provide convincing evidence that the average weight of chicks varies across some (or all) groups. Make sure to check relevant conditions. Figures and summary statistics are shown below. D 400 350 300- Weight (in grams) 250 200 150 100 casein horsebeanlinseed meatmeal soybean sunflower Mean SD n casein 323.58 64.43 12 horsebean 160.2 38.63 10 linseed 218.75 52.24 12 meatmeal 276.91 64.9 11 soybean 246.43 54.13 14 sunflower 328.92 48.84 12

Answer 1

O Ho: H = Hn = H = m = soy Hsun Ha: At least one of the means is different

from above given output:

test statistic F =15.36

p value =0.0000

Since p < a, we reject the null hypothesis and accept that the average weight of chicks is not the same across all of the diets