A veterinarian knows that the supplement glucosamine is beneficial for dogs’ joints. He wants to determine if a supplement with both glucosamine and chondroitin would be more beneficial than glucosamine alone for dogs’ joint health. The veterinarian asks the owners of dogs with known joint issues if they would be willing to have their dog participate in his study, and 32 owners agree to the study. The dogs’ names are written on equal-sized slips of paper and placed in a hat. The veterinarian selects 16 slips of paper. These dogs are given the glucosamine treatment. The other 16 dogs are given the glucosamine with chondroitin treatment. After six months, the dogs’ joint health is measured for each treatment and compared.

Does this procedure describe a completely randomized design for this experiment?

Yes, the treatments were randomly assigned to the dogs.
Yes, the treatment groups have the same number of dogs.
No, the veterinarian did not use dogs of the same breed.
No, the hat was not shaken, so there was no randomization.

"A randomized design is considered as a type of experiment which is assigned to different types of treatment by conducting different experiment to different groups."

According to the question,

A veterinarian conducts an experiment to check which one is more beneficial glucosamine alone or glucosamine with chondroitin.

A veterinarian conducts experiment on 32 dogs by dividing them into two groups of 16 each randomly and done his experiment. 16 dogs are given the glucosamine treatment and other 16 are glucosamine with chondroitin.

After six months , health of each dog is measured and compared.

Hence, we conclude that yes, treatment was randomly assigned to the dogs is the correct option.

Learn more about randomized design here

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