Animal psychologists wanted to test whether classical music has a relaxing effect on dogs. They decided to consider sleepiness as an indication of the dog being relaxed.
They randomized 100 dogs in a boarding facility between a treatment group and a control group and they put
the groups in separate rooms. The treatment group had classical music playing in their room. While the control
group spent a music-less ordinary day.
The results of the experiment showed that the mean portion of time the treatment group spent sleeping that
day was 15 minutes greater than the mean portion of time the control group spent sleeping To test whether the
results could be explained by random chance, the researchers created the table below, which summarizes the
results of 1000 re-randomizations of the data with differences between means rounded to the nearest 5
According to the simulations, what is the probability of the treatment group's mean being higher than the
control group's mean by 15 minutes or more?