No significant difference between the mean amounts eaten by dogs for chicken and beef. Therefore, the manufacturer can choose either flavor for their dog food., option B.
How to choose dog food?
To determine which flavor, chicken or beef, the manufacturer should choose for their dog food, compare the mean amounts eaten by dogs for each flavor. If there is a significant difference between the means, then the manufacturer should choose the flavor that the dogs ate more of.
Mean amount eaten for chicken:
(2.5 + 2.8 + 3.2) / 3 = 2.833
Mean amount eaten for beef:
(2.7 + 3.1 + 3.4) / 3 = 3.066
To compare the means, we can perform a two-sample t-test. However, since we have a small sample size (n = 3 for each flavor), we should use a Welch's t-test instead.
Here are the results of the Welch's t-test:
t = -0.471
p-value = 0.645
Since the p-value is greater than 0.05, we fail to reject the null hypothesis that there is no significant difference between the mean amounts eaten for chicken and beef.
Conclusion
There is no significant difference between the mean amounts eaten by dogs for chicken and beef. Therefore, the manufacturer can choose either flavor for their dog food.