Not to disagree with your sentiment entirely, but my wife, who's career was spent as a laboratory animal vet, is frothing at the mouth over your comment.
Studies using mice are WAY more controlled than you would expect. The mice are custom bred, genetically modified, and have specifically tuned immune systems. They cost tens of thousands of dollars each (this is not a joke). Since mice reproduce so quickly (and is so profitable), these things can be basically custom ordered to exactly your specifications - with statistically insignificant genetic differences between each one. They come with paperwork showing their exact genetic details, they are RFID tagged in some cases, and they are tested repeatedly before being used in studies - genetically and otherwise.
Regarding environment, these animals are kept in extremely controlled conditions. Forced airflow is repeatedly filtered and tested; the water comes from highly filtered sources into each cage. Animal food and bedding is irradiated to kill any microbes, and is generally highly regulated. Each animal room contains multiple "sentinel" animals, which are exposed to the same environment as the test subjects (and controls) but are tested to make sure that environmental factors don't impact the study.
Additionally, each mouse cage (about the size of a shoebox) holds 5 adult mice; racks of these cages connected to water/air contain ~144 cages. A study with only 6 mice is highly unlikely (although not impossible). With such a large number of animals per square foot, and such a high concentration of grad students, studies are repeated ad nauseam - more so than is ever publicized (mistakes do get made).
Again, not to say that your view of this little "experiment" with tape is invalid, but animal studies (especially mice) are way more controlled than you could ever imagine.