According to a recent warning from the FDA, grain-free food might be giving dogs a life-threatening heart problem called dilated cardiomyopathy, or DCM. Scientists interested in studying this link were trying to see if there was a difference in the average weight of dogs on grain-free dog food vs the average weight of dogs on food that includes grains. In this instance, the population standard deviation was known for both groups. What hypothesis test would be appropriate for analyzing the above scenario?
Answer: Z-Test for difference in Means for two Independent Samples.
Explanation:
Since, we have two independent samples for each of the two groups and we are interested in comparing the average weights of dogs with grain-free dog food and average weights of dogs with grain-rich food.
So, we will use Two-Independent Sample Test for means.
As far as the distribution of sample means is concerned, we assume Normal Distribution and will use Z - Test since the population standard deviations for both the groups is known.
Thus, we will use Z-Test for difference in Means for two Independent Samples.
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