Feeding time at the pet adoption facility can take a lot of time. An employee th

Question

Feeding time at the pet adoption facility can take a lot of time. An employee thinks that dogs will eat their meal more quickly if fed wet dog food as compared to dry dog food. A random sample of 15 dogs will be selected and each fed over the next two meals where one meal will be wet dog food and the other meal will be dry dog food. A coin will be flipped to determine which type of food will be given first. The time (in minutes) for the dog to finish their meal will be recorded. The results will be used to assess if dogs finish their meal more quickly when fed wet dog food as compared to dry dog food, on average.

what kind of test scenario is this?

Explanation / Answer

This is a scenario of hypothesis testing in which the sample will get divided into two groups. Since fipping of coin is used to divide the sample, and since the coin is fair, so the expected division of the sample of 15 dogs will be 7 dogs in one group and 8 dogs in the other.

Since this is a small sample size, and also since the number of dogs in the two groups will not be the same, so you cannot apply a paired t-test here. You need to apply a t-test assuming equal deviation.

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